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Finding the Fourth Proportional to 73,856.64, 102,007.14 and 53,803.20

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Solution

The fourth proportional to 73,856.64, 102,007.14 and 53,803.20 is: 74,310.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,856.64 : 102,007.14 = 53,803.20 : x
  2. Step 2: Convert to fraction form
    73,856.64/102,007.14 = 53,803.20/x
  3. Step 3: Cross multiply
    73,856.64x = 102,007.14 × 53,803.20
  4. Step 4: Simplify right side
    73,856.64x = 5,488,310,554.85
  5. Step 5: Solve for x
    x = 5,488,310,554.85/73,856.64
  6. Step 6: Final answer
    x = 74,310.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.