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Finding the Fourth Proportional to 92,029.15, 137,902.82 and 61,931.81

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Solution

The fourth proportional to 92,029.15, 137,902.82 and 61,931.81 is: 92,802.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,029.15 : 137,902.82 = 61,931.81 : x
  2. Step 2: Convert to fraction form
    92,029.15/137,902.82 = 61,931.81/x
  3. Step 3: Cross multiply
    92,029.15x = 137,902.82 × 61,931.81
  4. Step 4: Simplify right side
    92,029.15x = 8,540,571,246.70
  5. Step 5: Solve for x
    x = 8,540,571,246.70/92,029.15
  6. Step 6: Final answer
    x = 92,802.89

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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.