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Finding the Fourth Proportional to 52,282.97, 72,156.71 and 31,062.32

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Solution

The fourth proportional to 52,282.97, 72,156.71 and 31,062.32 is: 42,869.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,282.97 : 72,156.71 = 31,062.32 : x
  2. Step 2: Convert to fraction form
    52,282.97/72,156.71 = 31,062.32/x
  3. Step 3: Cross multiply
    52,282.97x = 72,156.71 × 31,062.32
  4. Step 4: Simplify right side
    52,282.97x = 2,241,354,300.07
  5. Step 5: Solve for x
    x = 2,241,354,300.07/52,282.97
  6. Step 6: Final answer
    x = 42,869.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.