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Finding the Fourth Proportional to 32,466, 44,803.12 and 17,562

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Solution

The fourth proportional to 32,466, 44,803.12 and 17,562 is: 24,235.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,466 : 44,803.12 = 17,562 : x
  2. Step 2: Convert to fraction form
    32,466/44,803.12 = 17,562/x
  3. Step 3: Cross multiply
    32,466x = 44,803.12 × 17,562
  4. Step 4: Simplify right side
    32,466x = 786,832,393.44
  5. Step 5: Solve for x
    x = 786,832,393.44/32,466
  6. Step 6: Final answer
    x = 24,235.58

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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.