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Finding the Fourth Proportional to 32,494.86, 48,742.28 and 17,716.20

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Solution

The fourth proportional to 32,494.86, 48,742.28 and 17,716.20 is: 26,574.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,494.86 : 48,742.28 = 17,716.20 : x
  2. Step 2: Convert to fraction form
    32,494.86/48,742.28 = 17,716.20/x
  3. Step 3: Cross multiply
    32,494.86x = 48,742.28 × 17,716.20
  4. Step 4: Simplify right side
    32,494.86x = 863,527,980.94
  5. Step 5: Solve for x
    x = 863,527,980.94/32,494.86
  6. Step 6: Final answer
    x = 26,574.29

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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.