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Finding the Fourth Proportional to 98,807.30, 148,226.42 and 32,232.04

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Solution

The fourth proportional to 98,807.30, 148,226.42 and 32,232.04 is: 48,353.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,807.30 : 148,226.42 = 32,232.04 : x
  2. Step 2: Convert to fraction form
    98,807.30/148,226.42 = 32,232.04/x
  3. Step 3: Cross multiply
    98,807.30x = 148,226.42 × 32,232.04
  4. Step 4: Simplify right side
    98,807.30x = 4,777,639,898.50
  5. Step 5: Solve for x
    x = 4,777,639,898.50/98,807.30
  6. Step 6: Final answer
    x = 48,353.11

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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.