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Finding the Fourth Proportional to 75,092.68, 112,670.34 and 32,951

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Solution

The fourth proportional to 75,092.68, 112,670.34 and 32,951 is: 49,440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,092.68 : 112,670.34 = 32,951 : x
  2. Step 2: Convert to fraction form
    75,092.68/112,670.34 = 32,951/x
  3. Step 3: Cross multiply
    75,092.68x = 112,670.34 × 32,951
  4. Step 4: Simplify right side
    75,092.68x = 3,712,600,373.34
  5. Step 5: Solve for x
    x = 3,712,600,373.34/75,092.68
  6. Step 6: Final answer
    x = 49,440.24

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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.