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Finding the Fourth Proportional to 32,890.76, 49,341 and 9,514.16

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Solution

The fourth proportional to 32,890.76, 49,341 and 9,514.16 is: 14,272.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,890.76 : 49,341 = 9,514.16 : x
  2. Step 2: Convert to fraction form
    32,890.76/49,341 = 9,514.16/x
  3. Step 3: Cross multiply
    32,890.76x = 49,341 × 9,514.16
  4. Step 4: Simplify right side
    32,890.76x = 469,438,168.56
  5. Step 5: Solve for x
    x = 469,438,168.56/32,890.76
  6. Step 6: Final answer
    x = 14,272.65

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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.