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Finding the Fourth Proportional to 52,600, 72,569.30 and 31,085.18

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Solution

The fourth proportional to 52,600, 72,569.30 and 31,085.18 is: 42,886.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,600 : 72,569.30 = 31,085.18 : x
  2. Step 2: Convert to fraction form
    52,600/72,569.30 = 31,085.18/x
  3. Step 3: Cross multiply
    52,600x = 72,569.30 × 31,085.18
  4. Step 4: Simplify right side
    52,600x = 2,255,829,752.97
  5. Step 5: Solve for x
    x = 2,255,829,752.97/52,600
  6. Step 6: Final answer
    x = 42,886.50

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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.