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Finding the Fourth Proportional to 92,117.34, 137,889.96 and 49,892.54

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Solution

The fourth proportional to 92,117.34, 137,889.96 and 49,892.54 is: 74,683.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,117.34 : 137,889.96 = 49,892.54 : x
  2. Step 2: Convert to fraction form
    92,117.34/137,889.96 = 49,892.54/x
  3. Step 3: Cross multiply
    92,117.34x = 137,889.96 × 49,892.54
  4. Step 4: Simplify right side
    92,117.34x = 6,879,679,655.45
  5. Step 5: Solve for x
    x = 6,879,679,655.45/92,117.34
  6. Step 6: Final answer
    x = 74,683.87

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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.