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Finding the Fourth Proportional to 68,471.60, 102,707.40 and 24,148.40

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Solution

The fourth proportional to 68,471.60, 102,707.40 and 24,148.40 is: 36,222.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,471.60 : 102,707.40 = 24,148.40 : x
  2. Step 2: Convert to fraction form
    68,471.60/102,707.40 = 24,148.40/x
  3. Step 3: Cross multiply
    68,471.60x = 102,707.40 × 24,148.40
  4. Step 4: Simplify right side
    68,471.60x = 2,480,219,378.16
  5. Step 5: Solve for x
    x = 2,480,219,378.16/68,471.60
  6. Step 6: Final answer
    x = 36,222.60

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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.