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Finding the Fourth Proportional to 92,125.83, 137,902.71 and 49,901.05

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Solution

The fourth proportional to 92,125.83, 137,902.71 and 49,901.05 is: 74,696.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,125.83 : 137,902.71 = 49,901.05 : x
  2. Step 2: Convert to fraction form
    92,125.83/137,902.71 = 49,901.05/x
  3. Step 3: Cross multiply
    92,125.83x = 137,902.71 × 49,901.05
  4. Step 4: Simplify right side
    92,125.83x = 6,881,490,026.85
  5. Step 5: Solve for x
    x = 6,881,490,026.85/92,125.83
  6. Step 6: Final answer
    x = 74,696.64

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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.