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Finding the Fourth Proportional to 81,159.20, 121,681.20 and 36,807.20

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Solution

The fourth proportional to 81,159.20, 121,681.20 and 36,807.20 is: 55,184.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,159.20 : 121,681.20 = 36,807.20 : x
  2. Step 2: Convert to fraction form
    81,159.20/121,681.20 = 36,807.20/x
  3. Step 3: Cross multiply
    81,159.20x = 121,681.20 × 36,807.20
  4. Step 4: Simplify right side
    81,159.20x = 4,478,744,264.64
  5. Step 5: Solve for x
    x = 4,478,744,264.64/81,159.20
  6. Step 6: Final answer
    x = 55,184.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.