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Finding the Fourth Proportional to 30,799.64, 42,503.38 and 16,652.48

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Solution

The fourth proportional to 30,799.64, 42,503.38 and 16,652.48 is: 22,980.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,799.64 : 42,503.38 = 16,652.48 : x
  2. Step 2: Convert to fraction form
    30,799.64/42,503.38 = 16,652.48/x
  3. Step 3: Cross multiply
    30,799.64x = 42,503.38 × 16,652.48
  4. Step 4: Simplify right side
    30,799.64x = 707,786,685.38
  5. Step 5: Solve for x
    x = 707,786,685.38/30,799.64
  6. Step 6: Final answer
    x = 22,980.36

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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.