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Finding the Fourth Proportional to 32,415, 44,732.74 and 17,511

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Solution

The fourth proportional to 32,415, 44,732.74 and 17,511 is: 24,165.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,415 : 44,732.74 = 17,511 : x
  2. Step 2: Convert to fraction form
    32,415/44,732.74 = 17,511/x
  3. Step 3: Cross multiply
    32,415x = 44,732.74 × 17,511
  4. Step 4: Simplify right side
    32,415x = 783,315,010.14
  5. Step 5: Solve for x
    x = 783,315,010.14/32,415
  6. Step 6: Final answer
    x = 24,165.20

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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.