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Finding the Fourth Proportional to 34,294.40, 47,317.15 and 23,542.57

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Solution

The fourth proportional to 34,294.40, 47,317.15 and 23,542.57 is: 32,482.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,294.40 : 47,317.15 = 23,542.57 : x
  2. Step 2: Convert to fraction form
    34,294.40/47,317.15 = 23,542.57/x
  3. Step 3: Cross multiply
    34,294.40x = 47,317.15 × 23,542.57
  4. Step 4: Simplify right side
    34,294.40x = 1,113,966,961.78
  5. Step 5: Solve for x
    x = 1,113,966,961.78/34,294.40
  6. Step 6: Final answer
    x = 32,482.47

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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.