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Finding the Fourth Proportional to 52,294.71, 72,172.84 and 31,073.99

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Solution

The fourth proportional to 52,294.71, 72,172.84 and 31,073.99 is: 42,885.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,294.71 : 72,172.84 = 31,073.99 : x
  2. Step 2: Convert to fraction form
    52,294.71/72,172.84 = 31,073.99/x
  3. Step 3: Cross multiply
    52,294.71x = 72,172.84 × 31,073.99
  4. Step 4: Simplify right side
    52,294.71x = 2,242,698,108.43
  5. Step 5: Solve for x
    x = 2,242,698,108.43/52,294.71
  6. Step 6: Final answer
    x = 42,885.75

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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.