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Finding the Fourth Proportional to 107,526.29, 161,295.71 and 32,648.87

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Solution

The fourth proportional to 107,526.29, 161,295.71 and 32,648.87 is: 48,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,526.29 : 161,295.71 = 32,648.87 : x
  2. Step 2: Convert to fraction form
    107,526.29/161,295.71 = 32,648.87/x
  3. Step 3: Cross multiply
    107,526.29x = 161,295.71 × 32,648.87
  4. Step 4: Simplify right side
    107,526.29x = 5,266,122,907.34
  5. Step 5: Solve for x
    x = 5,266,122,907.34/107,526.29
  6. Step 6: Final answer
    x = 48,975.21

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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.