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Finding the Fourth Proportional to 38,343.34, 52,892.28 and 23,026

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Solution

The fourth proportional to 38,343.34, 52,892.28 and 23,026 is: 31,762.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,343.34 : 52,892.28 = 23,026 : x
  2. Step 2: Convert to fraction form
    38,343.34/52,892.28 = 23,026/x
  3. Step 3: Cross multiply
    38,343.34x = 52,892.28 × 23,026
  4. Step 4: Simplify right side
    38,343.34x = 1,217,897,639.28
  5. Step 5: Solve for x
    x = 1,217,897,639.28/38,343.34
  6. Step 6: Final answer
    x = 31,762.95

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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.