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Finding the Fourth Proportional to 30,900.60, 42,642.90 and 16,753.38

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Solution

The fourth proportional to 30,900.60, 42,642.90 and 16,753.38 is: 23,119.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,900.60 : 42,642.90 = 16,753.38 : x
  2. Step 2: Convert to fraction form
    30,900.60/42,642.90 = 16,753.38/x
  3. Step 3: Cross multiply
    30,900.60x = 42,642.90 × 16,753.38
  4. Step 4: Simplify right side
    30,900.60x = 714,412,708.00
  5. Step 5: Solve for x
    x = 714,412,708.00/30,900.60
  6. Step 6: Final answer
    x = 23,119.70

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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.