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Finding the Fourth Proportional to 91,802.82, 137,684.79 and 29,458.74

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Solution

The fourth proportional to 91,802.82, 137,684.79 and 29,458.74 is: 44,181.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,802.82 : 137,684.79 = 29,458.74 : x
  2. Step 2: Convert to fraction form
    91,802.82/137,684.79 = 29,458.74/x
  3. Step 3: Cross multiply
    91,802.82x = 137,684.79 × 29,458.74
  4. Step 4: Simplify right side
    91,802.82x = 4,056,020,430.56
  5. Step 5: Solve for x
    x = 4,056,020,430.56/91,802.82
  6. Step 6: Final answer
    x = 44,181.87

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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.