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Finding the Fourth Proportional to 32,656.14, 45,065.46 and 17,752.14

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Solution

The fourth proportional to 32,656.14, 45,065.46 and 17,752.14 is: 24,497.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,656.14 : 45,065.46 = 17,752.14 : x
  2. Step 2: Convert to fraction form
    32,656.14/45,065.46 = 17,752.14/x
  3. Step 3: Cross multiply
    32,656.14x = 45,065.46 × 17,752.14
  4. Step 4: Simplify right side
    32,656.14x = 800,008,355.08
  5. Step 5: Solve for x
    x = 800,008,355.08/32,656.14
  6. Step 6: Final answer
    x = 24,497.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.