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Finding the Fourth Proportional to 91,762.36, 137,348.13 and 47,327.98

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Solution

The fourth proportional to 91,762.36, 137,348.13 and 47,327.98 is: 70,839.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,762.36 : 137,348.13 = 47,327.98 : x
  2. Step 2: Convert to fraction form
    91,762.36/137,348.13 = 47,327.98/x
  3. Step 3: Cross multiply
    91,762.36x = 137,348.13 × 47,327.98
  4. Step 4: Simplify right side
    91,762.36x = 6,500,409,549.68
  5. Step 5: Solve for x
    x = 6,500,409,549.68/91,762.36
  6. Step 6: Final answer
    x = 70,839.61

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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.