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Finding the Fourth Proportional to 34,119.34, 47,030.16 and 22,766.38

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Solution

The fourth proportional to 34,119.34, 47,030.16 and 22,766.38 is: 31,381.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,119.34 : 47,030.16 = 22,766.38 : x
  2. Step 2: Convert to fraction form
    34,119.34/47,030.16 = 22,766.38/x
  3. Step 3: Cross multiply
    34,119.34x = 47,030.16 × 22,766.38
  4. Step 4: Simplify right side
    34,119.34x = 1,070,706,494.02
  5. Step 5: Solve for x
    x = 1,070,706,494.02/34,119.34
  6. Step 6: Final answer
    x = 31,381.22

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Why These Related Problems?

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