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Finding the Fourth Proportional to 86,713.80, 130,070.70 and 24,376.20

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Solution

The fourth proportional to 86,713.80, 130,070.70 and 24,376.20 is: 36,564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,713.80 : 130,070.70 = 24,376.20 : x
  2. Step 2: Convert to fraction form
    86,713.80/130,070.70 = 24,376.20/x
  3. Step 3: Cross multiply
    86,713.80x = 130,070.70 × 24,376.20
  4. Step 4: Simplify right side
    86,713.80x = 3,170,629,397.34
  5. Step 5: Solve for x
    x = 3,170,629,397.34/86,713.80
  6. Step 6: Final answer
    x = 36,564.30

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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.