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Finding the Fourth Proportional to 32,482.26, 48,719.34 and 9,110.52

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Solution

The fourth proportional to 32,482.26, 48,719.34 and 9,110.52 is: 13,664.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,482.26 : 48,719.34 = 9,110.52 : x
  2. Step 2: Convert to fraction form
    32,482.26/48,719.34 = 9,110.52/x
  3. Step 3: Cross multiply
    32,482.26x = 48,719.34 × 9,110.52
  4. Step 4: Simplify right side
    32,482.26x = 443,858,521.46
  5. Step 5: Solve for x
    x = 443,858,521.46/32,482.26
  6. Step 6: Final answer
    x = 13,664.64

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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.