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Finding the Fourth Proportional to 52,419.28, 72,341.64 and 39,475.38

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Solution

The fourth proportional to 52,419.28, 72,341.64 and 39,475.38 is: 54,478.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,419.28 : 72,341.64 = 39,475.38 : x
  2. Step 2: Convert to fraction form
    52,419.28/72,341.64 = 39,475.38/x
  3. Step 3: Cross multiply
    52,419.28x = 72,341.64 × 39,475.38
  4. Step 4: Simplify right side
    52,419.28x = 2,855,713,169.74
  5. Step 5: Solve for x
    x = 2,855,713,169.74/52,419.28
  6. Step 6: Final answer
    x = 54,478.30

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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.