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Finding the Fourth Proportional to 105,614.89, 158,432.07 and 34,537.89

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Solution

The fourth proportional to 105,614.89, 158,432.07 and 34,537.89 is: 51,810.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,614.89 : 158,432.07 = 34,537.89 : x
  2. Step 2: Convert to fraction form
    105,614.89/158,432.07 = 34,537.89/x
  3. Step 3: Cross multiply
    105,614.89x = 158,432.07 × 34,537.89
  4. Step 4: Simplify right side
    105,614.89x = 5,471,909,406.13
  5. Step 5: Solve for x
    x = 5,471,909,406.13/105,614.89
  6. Step 6: Final answer
    x = 51,810.02

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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.