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Finding the Fourth Proportional to 32,757, 45,204.68 and 17,853

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Solution

The fourth proportional to 32,757, 45,204.68 and 17,853 is: 24,637.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,757 : 45,204.68 = 17,853 : x
  2. Step 2: Convert to fraction form
    32,757/45,204.68 = 17,853/x
  3. Step 3: Cross multiply
    32,757x = 45,204.68 × 17,853
  4. Step 4: Simplify right side
    32,757x = 807,039,152.04
  5. Step 5: Solve for x
    x = 807,039,152.04/32,757
  6. Step 6: Final answer
    x = 24,637.15

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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.