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Finding the Fourth Proportional to 85,669.65, 128,484.73 and 32,367.30

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Solution

The fourth proportional to 85,669.65, 128,484.73 and 32,367.30 is: 48,543.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,669.65 : 128,484.73 = 32,367.30 : x
  2. Step 2: Convert to fraction form
    85,669.65/128,484.73 = 32,367.30/x
  3. Step 3: Cross multiply
    85,669.65x = 128,484.73 × 32,367.30
  4. Step 4: Simplify right side
    85,669.65x = 4,158,703,359.97
  5. Step 5: Solve for x
    x = 4,158,703,359.97/85,669.65
  6. Step 6: Final answer
    x = 48,543.48

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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.