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Finding the Fourth Proportional to 99,425.28, 149,116.32 and 32,849.64

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Solution

The fourth proportional to 99,425.28, 149,116.32 and 32,849.64 is: 49,267.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,425.28 : 149,116.32 = 32,849.64 : x
  2. Step 2: Convert to fraction form
    99,425.28/149,116.32 = 32,849.64/x
  3. Step 3: Cross multiply
    99,425.28x = 149,116.32 × 32,849.64
  4. Step 4: Simplify right side
    99,425.28x = 4,898,417,430.12
  5. Step 5: Solve for x
    x = 4,898,417,430.12/99,425.28
  6. Step 6: Final answer
    x = 49,267.32

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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.