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Finding the Fourth Proportional to 73,989.66, 111,013.74 and 32,407.50

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Solution

The fourth proportional to 73,989.66, 111,013.74 and 32,407.50 is: 48,624.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,989.66 : 111,013.74 = 32,407.50 : x
  2. Step 2: Convert to fraction form
    73,989.66/111,013.74 = 32,407.50/x
  3. Step 3: Cross multiply
    73,989.66x = 111,013.74 × 32,407.50
  4. Step 4: Simplify right side
    73,989.66x = 3,597,677,779.05
  5. Step 5: Solve for x
    x = 3,597,677,779.05/73,989.66
  6. Step 6: Final answer
    x = 48,624.06

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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.