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Finding the Fourth Proportional to 55,643.60, 83,400.60 and 22,347.20

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Solution

The fourth proportional to 55,643.60, 83,400.60 and 22,347.20 is: 33,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,643.60 : 83,400.60 = 22,347.20 : x
  2. Step 2: Convert to fraction form
    55,643.60/83,400.60 = 22,347.20/x
  3. Step 3: Cross multiply
    55,643.60x = 83,400.60 × 22,347.20
  4. Step 4: Simplify right side
    55,643.60x = 1,863,769,888.32
  5. Step 5: Solve for x
    x = 1,863,769,888.32/55,643.60
  6. Step 6: Final answer
    x = 33,494.78

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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.