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Finding the Fourth Proportional to 71,775, 107,688.48 and 22,527

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Solution

The fourth proportional to 71,775, 107,688.48 and 22,527 is: 33,798.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,775 : 107,688.48 = 22,527 : x
  2. Step 2: Convert to fraction form
    71,775/107,688.48 = 22,527/x
  3. Step 3: Cross multiply
    71,775x = 107,688.48 × 22,527
  4. Step 4: Simplify right side
    71,775x = 2,425,898,388.96
  5. Step 5: Solve for x
    x = 2,425,898,388.96/71,775
  6. Step 6: Final answer
    x = 33,798.65

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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.