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Finding the Fourth Proportional to 78,421.59, 117,566.24 and 34,014.92

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Solution

The fourth proportional to 78,421.59, 117,566.24 and 34,014.92 is: 50,993.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,421.59 : 117,566.24 = 34,014.92 : x
  2. Step 2: Convert to fraction form
    78,421.59/117,566.24 = 34,014.92/x
  3. Step 3: Cross multiply
    78,421.59x = 117,566.24 × 34,014.92
  4. Step 4: Simplify right side
    78,421.59x = 3,999,005,490.40
  5. Step 5: Solve for x
    x = 3,999,005,490.40/78,421.59
  6. Step 6: Final answer
    x = 50,993.68

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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.