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Finding the Fourth Proportional to 32,838, 45,316.44 and 17,934

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Solution

The fourth proportional to 32,838, 45,316.44 and 17,934 is: 24,748.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,838 : 45,316.44 = 17,934 : x
  2. Step 2: Convert to fraction form
    32,838/45,316.44 = 17,934/x
  3. Step 3: Cross multiply
    32,838x = 45,316.44 × 17,934
  4. Step 4: Simplify right side
    32,838x = 812,705,034.96
  5. Step 5: Solve for x
    x = 812,705,034.96/32,838
  6. Step 6: Final answer
    x = 24,748.92

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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.