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Finding the Fourth Proportional to 30,748.38, 42,432.93 and 17,319.81

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Solution

The fourth proportional to 30,748.38, 42,432.93 and 17,319.81 is: 23,901.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,748.38 : 42,432.93 = 17,319.81 : x
  2. Step 2: Convert to fraction form
    30,748.38/42,432.93 = 17,319.81/x
  3. Step 3: Cross multiply
    30,748.38x = 42,432.93 × 17,319.81
  4. Step 4: Simplify right side
    30,748.38x = 734,930,285.34
  5. Step 5: Solve for x
    x = 734,930,285.34/30,748.38
  6. Step 6: Final answer
    x = 23,901.43

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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.