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Finding the Fourth Proportional to 52,363, 72,260.38 and 31,141.80

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Solution

The fourth proportional to 52,363, 72,260.38 and 31,141.80 is: 42,975.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,363 : 72,260.38 = 31,141.80 : x
  2. Step 2: Convert to fraction form
    52,363/72,260.38 = 31,141.80/x
  3. Step 3: Cross multiply
    52,363x = 72,260.38 × 31,141.80
  4. Step 4: Simplify right side
    52,363x = 2,250,318,301.88
  5. Step 5: Solve for x
    x = 2,250,318,301.88/52,363
  6. Step 6: Final answer
    x = 42,975.35

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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.