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Finding the Fourth Proportional to 70,026.78, 105,107.13 and 25,696.38

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Solution

The fourth proportional to 70,026.78, 105,107.13 and 25,696.38 is: 38,569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,026.78 : 105,107.13 = 25,696.38 : x
  2. Step 2: Convert to fraction form
    70,026.78/105,107.13 = 25,696.38/x
  3. Step 3: Cross multiply
    70,026.78x = 105,107.13 × 25,696.38
  4. Step 4: Simplify right side
    70,026.78x = 2,700,872,753.19
  5. Step 5: Solve for x
    x = 2,700,872,753.19/70,026.78
  6. Step 6: Final answer
    x = 38,569.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.