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Finding the Fourth Proportional to 32,616, 45,010.35 and 17,712

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Solution

The fourth proportional to 32,616, 45,010.35 and 17,712 is: 24,442.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,616 : 45,010.35 = 17,712 : x
  2. Step 2: Convert to fraction form
    32,616/45,010.35 = 17,712/x
  3. Step 3: Cross multiply
    32,616x = 45,010.35 × 17,712
  4. Step 4: Simplify right side
    32,616x = 797,223,319.20
  5. Step 5: Solve for x
    x = 797,223,319.20/32,616
  6. Step 6: Final answer
    x = 24,442.71

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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.