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Finding the Fourth Proportional to 70,514.96, 105,772.76 and 23,768.24

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Solution

The fourth proportional to 70,514.96, 105,772.76 and 23,768.24 is: 35,652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,514.96 : 105,772.76 = 23,768.24 : x
  2. Step 2: Convert to fraction form
    70,514.96/105,772.76 = 23,768.24/x
  3. Step 3: Cross multiply
    70,514.96x = 105,772.76 × 23,768.24
  4. Step 4: Simplify right side
    70,514.96x = 2,514,032,345.14
  5. Step 5: Solve for x
    x = 2,514,032,345.14/70,514.96
  6. Step 6: Final answer
    x = 35,652.47

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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.