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Finding the Fourth Proportional to 30,887.38, 42,624.80 and 16,740.46

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Solution

The fourth proportional to 30,887.38, 42,624.80 and 16,740.46 is: 23,101.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,887.38 : 42,624.80 = 16,740.46 : x
  2. Step 2: Convert to fraction form
    30,887.38/42,624.80 = 16,740.46/x
  3. Step 3: Cross multiply
    30,887.38x = 42,624.80 × 16,740.46
  4. Step 4: Simplify right side
    30,887.38x = 713,558,759.41
  5. Step 5: Solve for x
    x = 713,558,759.41/30,887.38
  6. Step 6: Final answer
    x = 23,101.95

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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.