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Finding the Fourth Proportional to 78,215.76, 117,345.50 and 25,662.15

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Solution

The fourth proportional to 78,215.76, 117,345.50 and 25,662.15 is: 38,500.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,215.76 : 117,345.50 = 25,662.15 : x
  2. Step 2: Convert to fraction form
    78,215.76/117,345.50 = 25,662.15/x
  3. Step 3: Cross multiply
    78,215.76x = 117,345.50 × 25,662.15
  4. Step 4: Simplify right side
    78,215.76x = 3,011,337,822.83
  5. Step 5: Solve for x
    x = 3,011,337,822.83/78,215.76
  6. Step 6: Final answer
    x = 38,500.40

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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.