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Finding the Fourth Proportional to 32,287.91, 48,430.01 and 10,098.65

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Solution

The fourth proportional to 32,287.91, 48,430.01 and 10,098.65 is: 15,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,287.91 : 48,430.01 = 10,098.65 : x
  2. Step 2: Convert to fraction form
    32,287.91/48,430.01 = 10,098.65/x
  3. Step 3: Cross multiply
    32,287.91x = 48,430.01 × 10,098.65
  4. Step 4: Simplify right side
    32,287.91x = 489,077,427.84
  5. Step 5: Solve for x
    x = 489,077,427.84/32,287.91
  6. Step 6: Final answer
    x = 15,147.39

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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.