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Finding the Fourth Proportional to 52,294.80, 78,446.28 and 31,377.36

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Solution

The fourth proportional to 52,294.80, 78,446.28 and 31,377.36 is: 47,068.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,294.80 : 78,446.28 = 31,377.36 : x
  2. Step 2: Convert to fraction form
    52,294.80/78,446.28 = 31,377.36/x
  3. Step 3: Cross multiply
    52,294.80x = 78,446.28 × 31,377.36
  4. Step 4: Simplify right side
    52,294.80x = 2,461,437,168.22
  5. Step 5: Solve for x
    x = 2,461,437,168.22/52,294.80
  6. Step 6: Final answer
    x = 47,068.49

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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.