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Finding the Fourth Proportional to 73,854.23, 110,815.37 and 45,807.17

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Solution

The fourth proportional to 73,854.23, 110,815.37 and 45,807.17 is: 68,731.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,854.23 : 110,815.37 = 45,807.17 : x
  2. Step 2: Convert to fraction form
    73,854.23/110,815.37 = 45,807.17/x
  3. Step 3: Cross multiply
    73,854.23x = 110,815.37 × 45,807.17
  4. Step 4: Simplify right side
    73,854.23x = 5,076,138,263.17
  5. Step 5: Solve for x
    x = 5,076,138,263.17/73,854.23
  6. Step 6: Final answer
    x = 68,731.86

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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.