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Finding the Fourth Proportional to 91,585.38, 137,393.66 and 31,597.59

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Solution

The fourth proportional to 91,585.38, 137,393.66 and 31,597.59 is: 47,401.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,585.38 : 137,393.66 = 31,597.59 : x
  2. Step 2: Convert to fraction form
    91,585.38/137,393.66 = 31,597.59/x
  3. Step 3: Cross multiply
    91,585.38x = 137,393.66 × 31,597.59
  4. Step 4: Simplify right side
    91,585.38x = 4,341,309,131.50
  5. Step 5: Solve for x
    x = 4,341,309,131.50/91,585.38
  6. Step 6: Final answer
    x = 47,401.77

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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.