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Finding the Fourth Proportional to 57,253.10, 85,879.65 and 31,009.10

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Solution

The fourth proportional to 57,253.10, 85,879.65 and 31,009.10 is: 46,513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,253.10 : 85,879.65 = 31,009.10 : x
  2. Step 2: Convert to fraction form
    57,253.10/85,879.65 = 31,009.10/x
  3. Step 3: Cross multiply
    57,253.10x = 85,879.65 × 31,009.10
  4. Step 4: Simplify right side
    57,253.10x = 2,663,050,654.82
  5. Step 5: Solve for x
    x = 2,663,050,654.82/57,253.10
  6. Step 6: Final answer
    x = 46,513.65

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.