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Finding the Fourth Proportional to 32,478.74, 48,719.46 and 10,291.62

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Solution

The fourth proportional to 32,478.74, 48,719.46 and 10,291.62 is: 15,437.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,478.74 : 48,719.46 = 10,291.62 : x
  2. Step 2: Convert to fraction form
    32,478.74/48,719.46 = 10,291.62/x
  3. Step 3: Cross multiply
    32,478.74x = 48,719.46 × 10,291.62
  4. Step 4: Simplify right side
    32,478.74x = 501,402,390.22
  5. Step 5: Solve for x
    x = 501,402,390.22/32,478.74
  6. Step 6: Final answer
    x = 15,437.87

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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.