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Finding the Fourth Proportional to 32,828, 45,302.76 and 17,924

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Solution

The fourth proportional to 32,828, 45,302.76 and 17,924 is: 24,735.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,828 : 45,302.76 = 17,924 : x
  2. Step 2: Convert to fraction form
    32,828/45,302.76 = 17,924/x
  3. Step 3: Cross multiply
    32,828x = 45,302.76 × 17,924
  4. Step 4: Simplify right side
    32,828x = 812,006,670.24
  5. Step 5: Solve for x
    x = 812,006,670.24/32,828
  6. Step 6: Final answer
    x = 24,735.19

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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.