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Finding the Fourth Proportional to 92,486.61, 138,802.86 and 47,506.14

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Solution

The fourth proportional to 92,486.61, 138,802.86 and 47,506.14 is: 71,296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,486.61 : 138,802.86 = 47,506.14 : x
  2. Step 2: Convert to fraction form
    92,486.61/138,802.86 = 47,506.14/x
  3. Step 3: Cross multiply
    92,486.61x = 138,802.86 × 47,506.14
  4. Step 4: Simplify right side
    92,486.61x = 6,593,988,099.56
  5. Step 5: Solve for x
    x = 6,593,988,099.56/92,486.61
  6. Step 6: Final answer
    x = 71,296.68

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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.