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Finding the Fourth Proportional to 86,427, 129,662.37 and 24,097.50

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Solution

The fourth proportional to 86,427, 129,662.37 and 24,097.50 is: 36,152.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,427 : 129,662.37 = 24,097.50 : x
  2. Step 2: Convert to fraction form
    86,427/129,662.37 = 24,097.50/x
  3. Step 3: Cross multiply
    86,427x = 129,662.37 × 24,097.50
  4. Step 4: Simplify right side
    86,427x = 3,124,538,961.08
  5. Step 5: Solve for x
    x = 3,124,538,961.08/86,427
  6. Step 6: Final answer
    x = 36,152.35

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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.