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Finding the Fourth Proportional to 53,978.60, 80,948.70 and 24,410.60

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Solution

The fourth proportional to 53,978.60, 80,948.70 and 24,410.60 is: 36,607.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,978.60 : 80,948.70 = 24,410.60 : x
  2. Step 2: Convert to fraction form
    53,978.60/80,948.70 = 24,410.60/x
  3. Step 3: Cross multiply
    53,978.60x = 80,948.70 × 24,410.60
  4. Step 4: Simplify right side
    53,978.60x = 1,976,006,336.22
  5. Step 5: Solve for x
    x = 1,976,006,336.22/53,978.60
  6. Step 6: Final answer
    x = 36,607.22

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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.