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Finding the Fourth Proportional to 52,141, 72,013.98 and 35,344.84

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Solution

The fourth proportional to 52,141, 72,013.98 and 35,344.84 is: 48,816.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,141 : 72,013.98 = 35,344.84 : x
  2. Step 2: Convert to fraction form
    52,141/72,013.98 = 35,344.84/x
  3. Step 3: Cross multiply
    52,141x = 72,013.98 × 35,344.84
  4. Step 4: Simplify right side
    52,141x = 2,545,322,600.86
  5. Step 5: Solve for x
    x = 2,545,322,600.86/52,141
  6. Step 6: Final answer
    x = 48,816.14

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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.