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Finding the Fourth Proportional to 86,686.36, 130,034.40 and 24,352

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Solution

The fourth proportional to 86,686.36, 130,034.40 and 24,352 is: 36,529.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,686.36 : 130,034.40 = 24,352 : x
  2. Step 2: Convert to fraction form
    86,686.36/130,034.40 = 24,352/x
  3. Step 3: Cross multiply
    86,686.36x = 130,034.40 × 24,352
  4. Step 4: Simplify right side
    86,686.36x = 3,166,597,708.80
  5. Step 5: Solve for x
    x = 3,166,597,708.80/86,686.36
  6. Step 6: Final answer
    x = 36,529.37

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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.