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Finding the Fourth Proportional to 32,877, 45,370.98 and 17,973

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Solution

The fourth proportional to 32,877, 45,370.98 and 17,973 is: 24,803.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,877 : 45,370.98 = 17,973 : x
  2. Step 2: Convert to fraction form
    32,877/45,370.98 = 17,973/x
  3. Step 3: Cross multiply
    32,877x = 45,370.98 × 17,973
  4. Step 4: Simplify right side
    32,877x = 815,452,623.54
  5. Step 5: Solve for x
    x = 815,452,623.54/32,877
  6. Step 6: Final answer
    x = 24,803.13

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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.