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Finding the Fourth Proportional to 30,749.31, 42,433.28 and 17,319.76

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Solution

The fourth proportional to 30,749.31, 42,433.28 and 17,319.76 is: 23,900.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,749.31 : 42,433.28 = 17,319.76 : x
  2. Step 2: Convert to fraction form
    30,749.31/42,433.28 = 17,319.76/x
  3. Step 3: Cross multiply
    30,749.31x = 42,433.28 × 17,319.76
  4. Step 4: Simplify right side
    30,749.31x = 734,934,225.61
  5. Step 5: Solve for x
    x = 734,934,225.61/30,749.31
  6. Step 6: Final answer
    x = 23,900.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.