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Finding the Fourth Proportional to 30,749.29, 42,434.29 and 17,317.87

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Solution

The fourth proportional to 30,749.29, 42,434.29 and 17,317.87 is: 23,898.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,749.29 : 42,434.29 = 17,317.87 : x
  2. Step 2: Convert to fraction form
    30,749.29/42,434.29 = 17,317.87/x
  3. Step 3: Cross multiply
    30,749.29x = 42,434.29 × 17,317.87
  4. Step 4: Simplify right side
    30,749.29x = 734,871,517.76
  5. Step 5: Solve for x
    x = 734,871,517.76/30,749.29
  6. Step 6: Final answer
    x = 23,898.81

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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.