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Finding the Fourth Proportional to 73,411.20, 110,116.80 and 57,664.80

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Solution

The fourth proportional to 73,411.20, 110,116.80 and 57,664.80 is: 86,497.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,411.20 : 110,116.80 = 57,664.80 : x
  2. Step 2: Convert to fraction form
    73,411.20/110,116.80 = 57,664.80/x
  3. Step 3: Cross multiply
    73,411.20x = 110,116.80 × 57,664.80
  4. Step 4: Simplify right side
    73,411.20x = 6,349,863,248.64
  5. Step 5: Solve for x
    x = 6,349,863,248.64/73,411.20
  6. Step 6: Final answer
    x = 86,497.20

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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.