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Finding the Fourth Proportional to 91,506.11, 137,059.22 and 38,035.98

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Solution

The fourth proportional to 91,506.11, 137,059.22 and 38,035.98 is: 56,970.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,506.11 : 137,059.22 = 38,035.98 : x
  2. Step 2: Convert to fraction form
    91,506.11/137,059.22 = 38,035.98/x
  3. Step 3: Cross multiply
    91,506.11x = 137,059.22 × 38,035.98
  4. Step 4: Simplify right side
    91,506.11x = 5,213,181,845.83
  5. Step 5: Solve for x
    x = 5,213,181,845.83/91,506.11
  6. Step 6: Final answer
    x = 56,970.86

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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.