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Finding the Fourth Proportional to 31,025.66, 46,537.65 and 7,652.30

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Solution

The fourth proportional to 31,025.66, 46,537.65 and 7,652.30 is: 11,478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,025.66 : 46,537.65 = 7,652.30 : x
  2. Step 2: Convert to fraction form
    31,025.66/46,537.65 = 7,652.30/x
  3. Step 3: Cross multiply
    31,025.66x = 46,537.65 × 7,652.30
  4. Step 4: Simplify right side
    31,025.66x = 356,120,059.10
  5. Step 5: Solve for x
    x = 356,120,059.10/31,025.66
  6. Step 6: Final answer
    x = 11,478.24

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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.