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Finding the Fourth Proportional to 91,567.86, 137,335.99 and 27,525

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Solution

The fourth proportional to 91,567.86, 137,335.99 and 27,525 is: 41,282.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,567.86 : 137,335.99 = 27,525 : x
  2. Step 2: Convert to fraction form
    91,567.86/137,335.99 = 27,525/x
  3. Step 3: Cross multiply
    91,567.86x = 137,335.99 × 27,525
  4. Step 4: Simplify right side
    91,567.86x = 3,780,173,124.75
  5. Step 5: Solve for x
    x = 3,780,173,124.75/91,567.86
  6. Step 6: Final answer
    x = 41,282.75

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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.