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Finding the Fourth Proportional to 53,978.84, 80,944.48 and 24,395.48

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Solution

The fourth proportional to 53,978.84, 80,944.48 and 24,395.48 is: 36,582.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,978.84 : 80,944.48 = 24,395.48 : x
  2. Step 2: Convert to fraction form
    53,978.84/80,944.48 = 24,395.48/x
  3. Step 3: Cross multiply
    53,978.84x = 80,944.48 × 24,395.48
  4. Step 4: Simplify right side
    53,978.84x = 1,974,679,442.95
  5. Step 5: Solve for x
    x = 1,974,679,442.95/53,978.84
  6. Step 6: Final answer
    x = 36,582.47

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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.