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Finding the Fourth Proportional to 92,117.71, 137,890.53 and 49,892.92

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Solution

The fourth proportional to 92,117.71, 137,890.53 and 49,892.92 is: 74,684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,117.71 : 137,890.53 = 49,892.92 : x
  2. Step 2: Convert to fraction form
    92,117.71/137,890.53 = 49,892.92/x
  3. Step 3: Cross multiply
    92,117.71x = 137,890.53 × 49,892.92
  4. Step 4: Simplify right side
    92,117.71x = 6,879,760,492.59
  5. Step 5: Solve for x
    x = 6,879,760,492.59/92,117.71
  6. Step 6: Final answer
    x = 74,684.45

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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.