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Finding the Fourth Proportional to 32,319.80, 48,480.84 and 8,948

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Solution

The fourth proportional to 32,319.80, 48,480.84 and 8,948 is: 13,422.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,319.80 : 48,480.84 = 8,948 : x
  2. Step 2: Convert to fraction form
    32,319.80/48,480.84 = 8,948/x
  3. Step 3: Cross multiply
    32,319.80x = 48,480.84 × 8,948
  4. Step 4: Simplify right side
    32,319.80x = 433,806,556.32
  5. Step 5: Solve for x
    x = 433,806,556.32/32,319.80
  6. Step 6: Final answer
    x = 13,422.32

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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.