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Finding the Fourth Proportional to 52,055.34, 78,008.30 and 29,583.92

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Solution

The fourth proportional to 52,055.34, 78,008.30 and 29,583.92 is: 44,333.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,055.34 : 78,008.30 = 29,583.92 : x
  2. Step 2: Convert to fraction form
    52,055.34/78,008.30 = 29,583.92/x
  3. Step 3: Cross multiply
    52,055.34x = 78,008.30 × 29,583.92
  4. Step 4: Simplify right side
    52,055.34x = 2,307,791,306.54
  5. Step 5: Solve for x
    x = 2,307,791,306.54/52,055.34
  6. Step 6: Final answer
    x = 44,333.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.