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Finding the Fourth Proportional to 86,703.68, 130,064.18 and 23,524.80

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Solution

The fourth proportional to 86,703.68, 130,064.18 and 23,524.80 is: 35,289.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,703.68 : 130,064.18 = 23,524.80 : x
  2. Step 2: Convert to fraction form
    86,703.68/130,064.18 = 23,524.80/x
  3. Step 3: Cross multiply
    86,703.68x = 130,064.18 × 23,524.80
  4. Step 4: Simplify right side
    86,703.68x = 3,059,733,704.04
  5. Step 5: Solve for x
    x = 3,059,733,704.04/86,703.68
  6. Step 6: Final answer
    x = 35,289.55

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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.