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Finding the Fourth Proportional to 34,142.95, 47,100.53 and 22,815.23

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Solution

The fourth proportional to 34,142.95, 47,100.53 and 22,815.23 is: 31,473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,142.95 : 47,100.53 = 22,815.23 : x
  2. Step 2: Convert to fraction form
    34,142.95/47,100.53 = 22,815.23/x
  3. Step 3: Cross multiply
    34,142.95x = 47,100.53 × 22,815.23
  4. Step 4: Simplify right side
    34,142.95x = 1,074,609,417.36
  5. Step 5: Solve for x
    x = 1,074,609,417.36/34,142.95
  6. Step 6: Final answer
    x = 31,473.83

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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.