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Finding the Fourth Proportional to 52,107.71, 71,909.98 and 31,975.71

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Solution

The fourth proportional to 52,107.71, 71,909.98 and 31,975.71 is: 44,127.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,107.71 : 71,909.98 = 31,975.71 : x
  2. Step 2: Convert to fraction form
    52,107.71/71,909.98 = 31,975.71/x
  3. Step 3: Cross multiply
    52,107.71x = 71,909.98 × 31,975.71
  4. Step 4: Simplify right side
    52,107.71x = 2,299,372,666.59
  5. Step 5: Solve for x
    x = 2,299,372,666.59/52,107.71
  6. Step 6: Final answer
    x = 44,127.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.