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Finding the Fourth Proportional to 86,806.78, 130,214.63 and 24,482.14

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Solution

The fourth proportional to 86,806.78, 130,214.63 and 24,482.14 is: 36,724.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,806.78 : 130,214.63 = 24,482.14 : x
  2. Step 2: Convert to fraction form
    86,806.78/130,214.63 = 24,482.14/x
  3. Step 3: Cross multiply
    86,806.78x = 130,214.63 × 24,482.14
  4. Step 4: Simplify right side
    86,806.78x = 3,187,932,801.71
  5. Step 5: Solve for x
    x = 3,187,932,801.71/86,806.78
  6. Step 6: Final answer
    x = 36,724.47

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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.