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Finding the Fourth Proportional to 78,004.29, 117,024.04 and 24,699.50

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Solution

The fourth proportional to 78,004.29, 117,024.04 and 24,699.50 is: 37,054.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,004.29 : 117,024.04 = 24,699.50 : x
  2. Step 2: Convert to fraction form
    78,004.29/117,024.04 = 24,699.50/x
  3. Step 3: Cross multiply
    78,004.29x = 117,024.04 × 24,699.50
  4. Step 4: Simplify right side
    78,004.29x = 2,890,435,275.98
  5. Step 5: Solve for x
    x = 2,890,435,275.98/78,004.29
  6. Step 6: Final answer
    x = 37,054.82

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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.