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Finding the Fourth Proportional to 35,454.78, 53,182.20 and 10,830.78

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Solution

The fourth proportional to 35,454.78, 53,182.20 and 10,830.78 is: 16,246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,454.78 : 53,182.20 = 10,830.78 : x
  2. Step 2: Convert to fraction form
    35,454.78/53,182.20 = 10,830.78/x
  3. Step 3: Cross multiply
    35,454.78x = 53,182.20 × 10,830.78
  4. Step 4: Simplify right side
    35,454.78x = 576,004,708.12
  5. Step 5: Solve for x
    x = 576,004,708.12/35,454.78
  6. Step 6: Final answer
    x = 16,246.18

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1.5x scale

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.