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Finding the Fourth Proportional to 70,291.38, 105,410.54 and 22,894.10

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Solution

The fourth proportional to 70,291.38, 105,410.54 and 22,894.10 is: 34,332.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,291.38 : 105,410.54 = 22,894.10 : x
  2. Step 2: Convert to fraction form
    70,291.38/105,410.54 = 22,894.10/x
  3. Step 3: Cross multiply
    70,291.38x = 105,410.54 × 22,894.10
  4. Step 4: Simplify right side
    70,291.38x = 2,413,279,443.81
  5. Step 5: Solve for x
    x = 2,413,279,443.81/70,291.38
  6. Step 6: Final answer
    x = 34,332.51

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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.