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Finding the Fourth Proportional to 99,253.32, 148,889.40 and 32,693.64

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Solution

The fourth proportional to 99,253.32, 148,889.40 and 32,693.64 is: 49,043.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,253.32 : 148,889.40 = 32,693.64 : x
  2. Step 2: Convert to fraction form
    99,253.32/148,889.40 = 32,693.64/x
  3. Step 3: Cross multiply
    99,253.32x = 148,889.40 × 32,693.64
  4. Step 4: Simplify right side
    99,253.32x = 4,867,736,443.42
  5. Step 5: Solve for x
    x = 4,867,736,443.42/99,253.32
  6. Step 6: Final answer
    x = 49,043.56

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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.