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Finding the Fourth Proportional to 32,518, 44,874.84 and 17,614

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Solution

The fourth proportional to 32,518, 44,874.84 and 17,614 is: 24,307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,518 : 44,874.84 = 17,614 : x
  2. Step 2: Convert to fraction form
    32,518/44,874.84 = 17,614/x
  3. Step 3: Cross multiply
    32,518x = 44,874.84 × 17,614
  4. Step 4: Simplify right side
    32,518x = 790,425,431.76
  5. Step 5: Solve for x
    x = 790,425,431.76/32,518
  6. Step 6: Final answer
    x = 24,307.32

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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.