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Finding the Fourth Proportional to 55,452.84, 76,503.22 and 34,195.20

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Solution

The fourth proportional to 55,452.84, 76,503.22 and 34,195.20 is: 47,176.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,452.84 : 76,503.22 = 34,195.20 : x
  2. Step 2: Convert to fraction form
    55,452.84/76,503.22 = 34,195.20/x
  3. Step 3: Cross multiply
    55,452.84x = 76,503.22 × 34,195.20
  4. Step 4: Simplify right side
    55,452.84x = 2,616,042,908.54
  5. Step 5: Solve for x
    x = 2,616,042,908.54/55,452.84
  6. Step 6: Final answer
    x = 47,176.00

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1.5x scale

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.