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Finding the Fourth Proportional to 99,532.64, 137,352.28 and 54,209.64

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Solution

The fourth proportional to 99,532.64, 137,352.28 and 54,209.64 is: 74,807.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,532.64 : 137,352.28 = 54,209.64 : x
  2. Step 2: Convert to fraction form
    99,532.64/137,352.28 = 54,209.64/x
  3. Step 3: Cross multiply
    99,532.64x = 137,352.28 × 54,209.64
  4. Step 4: Simplify right side
    99,532.64x = 7,445,817,651.98
  5. Step 5: Solve for x
    x = 7,445,817,651.98/99,532.64
  6. Step 6: Final answer
    x = 74,807.80

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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.