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Finding the Fourth Proportional to 71,547.96, 107,320.68 and 24,800.16

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Solution

The fourth proportional to 71,547.96, 107,320.68 and 24,800.16 is: 37,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,547.96 : 107,320.68 = 24,800.16 : x
  2. Step 2: Convert to fraction form
    71,547.96/107,320.68 = 24,800.16/x
  3. Step 3: Cross multiply
    71,547.96x = 107,320.68 × 24,800.16
  4. Step 4: Simplify right side
    71,547.96x = 2,661,570,035.31
  5. Step 5: Solve for x
    x = 2,661,570,035.31/71,547.96
  6. Step 6: Final answer
    x = 37,199.80

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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.