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Finding the Fourth Proportional to 53,642.74, 80,432.74 and 16,191.58

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Solution

The fourth proportional to 53,642.74, 80,432.74 and 16,191.58 is: 24,277.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,642.74 : 80,432.74 = 16,191.58 : x
  2. Step 2: Convert to fraction form
    53,642.74/80,432.74 = 16,191.58/x
  3. Step 3: Cross multiply
    53,642.74x = 80,432.74 × 16,191.58
  4. Step 4: Simplify right side
    53,642.74x = 1,302,333,144.33
  5. Step 5: Solve for x
    x = 1,302,333,144.33/53,642.74
  6. Step 6: Final answer
    x = 24,277.90

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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.