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Finding the Fourth Proportional to 78,199.20, 117,359.28 and 31,491.36

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Solution

The fourth proportional to 78,199.20, 117,359.28 and 31,491.36 is: 47,261.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,199.20 : 117,359.28 = 31,491.36 : x
  2. Step 2: Convert to fraction form
    78,199.20/117,359.28 = 31,491.36/x
  3. Step 3: Cross multiply
    78,199.20x = 117,359.28 × 31,491.36
  4. Step 4: Simplify right side
    78,199.20x = 3,695,803,335.82
  5. Step 5: Solve for x
    x = 3,695,803,335.82/78,199.20
  6. Step 6: Final answer
    x = 47,261.40

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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.