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Finding the Fourth Proportional to 99,597.54, 137,442.90 and 54,275.92

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Solution

The fourth proportional to 99,597.54, 137,442.90 and 54,275.92 is: 74,899.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,597.54 : 137,442.90 = 54,275.92 : x
  2. Step 2: Convert to fraction form
    99,597.54/137,442.90 = 54,275.92/x
  3. Step 3: Cross multiply
    99,597.54x = 137,442.90 × 54,275.92
  4. Step 4: Simplify right side
    99,597.54x = 7,459,839,844.97
  5. Step 5: Solve for x
    x = 7,459,839,844.97/99,597.54
  6. Step 6: Final answer
    x = 74,899.84

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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.