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Finding the Fourth Proportional to 53,886.78, 80,830.17 and 16,447.04

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Solution

The fourth proportional to 53,886.78, 80,830.17 and 16,447.04 is: 24,670.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,886.78 : 80,830.17 = 16,447.04 : x
  2. Step 2: Convert to fraction form
    53,886.78/80,830.17 = 16,447.04/x
  3. Step 3: Cross multiply
    53,886.78x = 80,830.17 × 16,447.04
  4. Step 4: Simplify right side
    53,886.78x = 1,329,417,039.20
  5. Step 5: Solve for x
    x = 1,329,417,039.20/53,886.78
  6. Step 6: Final answer
    x = 24,670.56

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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.