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Finding the Fourth Proportional to 99,219.71, 148,850.06 and 32,663.82

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Solution

The fourth proportional to 99,219.71, 148,850.06 and 32,663.82 is: 49,002.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,219.71 : 148,850.06 = 32,663.82 : x
  2. Step 2: Convert to fraction form
    99,219.71/148,850.06 = 32,663.82/x
  3. Step 3: Cross multiply
    99,219.71x = 148,850.06 × 32,663.82
  4. Step 4: Simplify right side
    99,219.71x = 4,862,011,403.51
  5. Step 5: Solve for x
    x = 4,862,011,403.51/99,219.71
  6. Step 6: Final answer
    x = 49,002.48

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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.