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Finding the Fourth Proportional to 82,407.66, 123,526.68 and 32,467.56

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Solution

The fourth proportional to 82,407.66, 123,526.68 and 32,467.56 is: 48,667.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,407.66 : 123,526.68 = 32,467.56 : x
  2. Step 2: Convert to fraction form
    82,407.66/123,526.68 = 32,467.56/x
  3. Step 3: Cross multiply
    82,407.66x = 123,526.68 × 32,467.56
  4. Step 4: Simplify right side
    82,407.66x = 4,010,609,894.50
  5. Step 5: Solve for x
    x = 4,010,609,894.50/82,407.66
  6. Step 6: Final answer
    x = 48,667.93

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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.