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Finding the Fourth Proportional to 32,646.38, 45,052.00 and 17,742.38

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Solution

The fourth proportional to 32,646.38, 45,052.00 and 17,742.38 is: 24,484.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,646.38 : 45,052.00 = 17,742.38 : x
  2. Step 2: Convert to fraction form
    32,646.38/45,052.00 = 17,742.38/x
  3. Step 3: Cross multiply
    32,646.38x = 45,052.00 × 17,742.38
  4. Step 4: Simplify right side
    32,646.38x = 799,329,434.14
  5. Step 5: Solve for x
    x = 799,329,434.14/32,646.38
  6. Step 6: Final answer
    x = 24,484.48

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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.