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Finding the Fourth Proportional to 49,440.51, 74,164.22 and 24,473.86

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Solution

The fourth proportional to 49,440.51, 74,164.22 and 24,473.86 is: 36,712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,440.51 : 74,164.22 = 24,473.86 : x
  2. Step 2: Convert to fraction form
    49,440.51/74,164.22 = 24,473.86/x
  3. Step 3: Cross multiply
    49,440.51x = 74,164.22 × 24,473.86
  4. Step 4: Simplify right side
    49,440.51x = 1,815,084,658.95
  5. Step 5: Solve for x
    x = 1,815,084,658.95/49,440.51
  6. Step 6: Final answer
    x = 36,712.50

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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.