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Finding the Fourth Proportional to 30,689.40, 42,377.94 and 29,114.76

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Solution

The fourth proportional to 30,689.40, 42,377.94 and 29,114.76 is: 40,203.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,689.40 : 42,377.94 = 29,114.76 : x
  2. Step 2: Convert to fraction form
    30,689.40/42,377.94 = 29,114.76/x
  3. Step 3: Cross multiply
    30,689.40x = 42,377.94 × 29,114.76
  4. Step 4: Simplify right side
    30,689.40x = 1,233,823,552.39
  5. Step 5: Solve for x
    x = 1,233,823,552.39/30,689.40
  6. Step 6: Final answer
    x = 40,203.57

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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.