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Finding the Fourth Proportional to 55,590.50, 76,726.80 and 35,442.74

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Solution

The fourth proportional to 55,590.50, 76,726.80 and 35,442.74 is: 48,918.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,590.50 : 76,726.80 = 35,442.74 : x
  2. Step 2: Convert to fraction form
    55,590.50/76,726.80 = 35,442.74/x
  3. Step 3: Cross multiply
    55,590.50x = 76,726.80 × 35,442.74
  4. Step 4: Simplify right side
    55,590.50x = 2,719,408,023.43
  5. Step 5: Solve for x
    x = 2,719,408,023.43/55,590.50
  6. Step 6: Final answer
    x = 48,918.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.