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Finding the Fourth Proportional to 99,807.60, 149,713.80 and 29,689.20

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Solution

The fourth proportional to 99,807.60, 149,713.80 and 29,689.20 is: 44,534.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,807.60 : 149,713.80 = 29,689.20 : x
  2. Step 2: Convert to fraction form
    99,807.60/149,713.80 = 29,689.20/x
  3. Step 3: Cross multiply
    99,807.60x = 149,713.80 × 29,689.20
  4. Step 4: Simplify right side
    99,807.60x = 4,444,882,950.96
  5. Step 5: Solve for x
    x = 4,444,882,950.96/99,807.60
  6. Step 6: Final answer
    x = 44,534.51

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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.