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Finding the Fourth Proportional to 32,456.61, 48,679.34 and 9,077.49

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Solution

The fourth proportional to 32,456.61, 48,679.34 and 9,077.49 is: 13,614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,456.61 : 48,679.34 = 9,077.49 : x
  2. Step 2: Convert to fraction form
    32,456.61/48,679.34 = 9,077.49/x
  3. Step 3: Cross multiply
    32,456.61x = 48,679.34 × 9,077.49
  4. Step 4: Simplify right side
    32,456.61x = 441,886,176.67
  5. Step 5: Solve for x
    x = 441,886,176.67/32,456.61
  6. Step 6: Final answer
    x = 13,614.67

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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.