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Finding the Fourth Proportional to 78,005.29, 117,025.54 and 24,700.50

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Solution

The fourth proportional to 78,005.29, 117,025.54 and 24,700.50 is: 37,056.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,005.29 : 117,025.54 = 24,700.50 : x
  2. Step 2: Convert to fraction form
    78,005.29/117,025.54 = 24,700.50/x
  3. Step 3: Cross multiply
    78,005.29x = 117,025.54 × 24,700.50
  4. Step 4: Simplify right side
    78,005.29x = 2,890,589,350.77
  5. Step 5: Solve for x
    x = 2,890,589,350.77/78,005.29
  6. Step 6: Final answer
    x = 37,056.32

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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.