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Finding the Fourth Proportional to 52,378.31, 72,282.38 and 28,505.18

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Solution

The fourth proportional to 52,378.31, 72,282.38 and 28,505.18 is: 39,337.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,378.31 : 72,282.38 = 28,505.18 : x
  2. Step 2: Convert to fraction form
    52,378.31/72,282.38 = 28,505.18/x
  3. Step 3: Cross multiply
    52,378.31x = 72,282.38 × 28,505.18
  4. Step 4: Simplify right side
    52,378.31x = 2,060,422,290.91
  5. Step 5: Solve for x
    x = 2,060,422,290.91/52,378.31
  6. Step 6: Final answer
    x = 39,337.32

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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.