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Finding the Fourth Proportional to 32,523, 44,881.92 and 17,619

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Solution

The fourth proportional to 32,523, 44,881.92 and 17,619 is: 24,314.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,523 : 44,881.92 = 17,619 : x
  2. Step 2: Convert to fraction form
    32,523/44,881.92 = 17,619/x
  3. Step 3: Cross multiply
    32,523x = 44,881.92 × 17,619
  4. Step 4: Simplify right side
    32,523x = 790,774,548.48
  5. Step 5: Solve for x
    x = 790,774,548.48/32,523
  6. Step 6: Final answer
    x = 24,314.32

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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.