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Finding the Fourth Proportional to 41,071.32, 61,523.80 and 32,265

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Solution

The fourth proportional to 41,071.32, 61,523.80 and 32,265 is: 48,332.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,071.32 : 61,523.80 = 32,265 : x
  2. Step 2: Convert to fraction form
    41,071.32/61,523.80 = 32,265/x
  3. Step 3: Cross multiply
    41,071.32x = 61,523.80 × 32,265
  4. Step 4: Simplify right side
    41,071.32x = 1,985,065,407
  5. Step 5: Solve for x
    x = 1,985,065,407/41,071.32
  6. Step 6: Final answer
    x = 48,332.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.