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Finding the Fourth Proportional to 78,527.50, 117,829.05 and 39,088.06

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Solution

The fourth proportional to 78,527.50, 117,829.05 and 39,088.06 is: 58,650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,527.50 : 117,829.05 = 39,088.06 : x
  2. Step 2: Convert to fraction form
    78,527.50/117,829.05 = 39,088.06/x
  3. Step 3: Cross multiply
    78,527.50x = 117,829.05 × 39,088.06
  4. Step 4: Simplify right side
    78,527.50x = 4,605,708,976.14
  5. Step 5: Solve for x
    x = 4,605,708,976.14/78,527.50
  6. Step 6: Final answer
    x = 58,650.91

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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.