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Finding the Fourth Proportional to 55,466, 76,543.80 and 30,316.04

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Solution

The fourth proportional to 55,466, 76,543.80 and 30,316.04 is: 41,836.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,466 : 76,543.80 = 30,316.04 : x
  2. Step 2: Convert to fraction form
    55,466/76,543.80 = 30,316.04/x
  3. Step 3: Cross multiply
    55,466x = 76,543.80 × 30,316.04
  4. Step 4: Simplify right side
    55,466x = 2,320,504,902.55
  5. Step 5: Solve for x
    x = 2,320,504,902.55/55,466
  6. Step 6: Final answer
    x = 41,836.53

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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.