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Finding the Fourth Proportional to 55,922.80, 77,148.04 and 33,248.92

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Solution

The fourth proportional to 55,922.80, 77,148.04 and 33,248.92 is: 45,868.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,922.80 : 77,148.04 = 33,248.92 : x
  2. Step 2: Convert to fraction form
    55,922.80/77,148.04 = 33,248.92/x
  3. Step 3: Cross multiply
    55,922.80x = 77,148.04 × 33,248.92
  4. Step 4: Simplify right side
    55,922.80x = 2,565,089,010.12
  5. Step 5: Solve for x
    x = 2,565,089,010.12/55,922.80
  6. Step 6: Final answer
    x = 45,868.39

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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.