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Finding the Fourth Proportional to 55,742.45, 83,626.45 and 24,157.82

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Solution

The fourth proportional to 55,742.45, 83,626.45 and 24,157.82 is: 36,242.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,742.45 : 83,626.45 = 24,157.82 : x
  2. Step 2: Convert to fraction form
    55,742.45/83,626.45 = 24,157.82/x
  3. Step 3: Cross multiply
    55,742.45x = 83,626.45 × 24,157.82
  4. Step 4: Simplify right side
    55,742.45x = 2,020,232,726.34
  5. Step 5: Solve for x
    x = 2,020,232,726.34/55,742.45
  6. Step 6: Final answer
    x = 36,242.27

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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.