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Finding the Fourth Proportional to 52,843.49, 72,931.52 and 32,706.86

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Solution

The fourth proportional to 52,843.49, 72,931.52 and 32,706.86 is: 45,140.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,843.49 : 72,931.52 = 32,706.86 : x
  2. Step 2: Convert to fraction form
    52,843.49/72,931.52 = 32,706.86/x
  3. Step 3: Cross multiply
    52,843.49x = 72,931.52 × 32,706.86
  4. Step 4: Simplify right side
    52,843.49x = 2,385,360,486.04
  5. Step 5: Solve for x
    x = 2,385,360,486.04/52,843.49
  6. Step 6: Final answer
    x = 45,140.11

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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.