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Finding the Fourth Proportional to 86,842.72, 130,264.01 and 24,513.22

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Solution

The fourth proportional to 86,842.72, 130,264.01 and 24,513.22 is: 36,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,842.72 : 130,264.01 = 24,513.22 : x
  2. Step 2: Convert to fraction form
    86,842.72/130,264.01 = 24,513.22/x
  3. Step 3: Cross multiply
    86,842.72x = 130,264.01 × 24,513.22
  4. Step 4: Simplify right side
    86,842.72x = 3,193,190,335.21
  5. Step 5: Solve for x
    x = 3,193,190,335.21/86,842.72
  6. Step 6: Final answer
    x = 36,769.81

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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.