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Finding the Fourth Proportional to 32,041.50, 48,062.28 and 11,265

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Solution

The fourth proportional to 32,041.50, 48,062.28 and 11,265 is: 16,897.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,041.50 : 48,062.28 = 11,265 : x
  2. Step 2: Convert to fraction form
    32,041.50/48,062.28 = 11,265/x
  3. Step 3: Cross multiply
    32,041.50x = 48,062.28 × 11,265
  4. Step 4: Simplify right side
    32,041.50x = 541,421,584.20
  5. Step 5: Solve for x
    x = 541,421,584.20/32,041.50
  6. Step 6: Final answer
    x = 16,897.51

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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.