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Finding the Fourth Proportional to 52,605.84, 72,616.20 and 32,466

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Solution

The fourth proportional to 52,605.84, 72,616.20 and 32,466 is: 44,815.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,605.84 : 72,616.20 = 32,466 : x
  2. Step 2: Convert to fraction form
    52,605.84/72,616.20 = 32,466/x
  3. Step 3: Cross multiply
    52,605.84x = 72,616.20 × 32,466
  4. Step 4: Simplify right side
    52,605.84x = 2,357,557,549.20
  5. Step 5: Solve for x
    x = 2,357,557,549.20/52,605.84
  6. Step 6: Final answer
    x = 44,815.51

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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.