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Finding the Fourth Proportional to 52,142.52, 72,016.04 and 35,346.36

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Solution

The fourth proportional to 52,142.52, 72,016.04 and 35,346.36 is: 48,818.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,142.52 : 72,016.04 = 35,346.36 : x
  2. Step 2: Convert to fraction form
    52,142.52/72,016.04 = 35,346.36/x
  3. Step 3: Cross multiply
    52,142.52x = 72,016.04 × 35,346.36
  4. Step 4: Simplify right side
    52,142.52x = 2,545,504,875.61
  5. Step 5: Solve for x
    x = 2,545,504,875.61/52,142.52
  6. Step 6: Final answer
    x = 48,818.22

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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.