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Finding the Fourth Proportional to 86,713.76, 130,079.29 and 23,534.90

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Solution

The fourth proportional to 86,713.76, 130,079.29 and 23,534.90 is: 35,304.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,713.76 : 130,079.29 = 23,534.90 : x
  2. Step 2: Convert to fraction form
    86,713.76/130,079.29 = 23,534.90/x
  3. Step 3: Cross multiply
    86,713.76x = 130,079.29 × 23,534.90
  4. Step 4: Simplify right side
    86,713.76x = 3,061,402,605.26
  5. Step 5: Solve for x
    x = 3,061,402,605.26/86,713.76
  6. Step 6: Final answer
    x = 35,304.69

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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.