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Finding the Fourth Proportional to 70,626.48, 105,939.71 and 26,264.40

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Solution

The fourth proportional to 70,626.48, 105,939.71 and 26,264.40 is: 39,396.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,626.48 : 105,939.71 = 26,264.40 : x
  2. Step 2: Convert to fraction form
    70,626.48/105,939.71 = 26,264.40/x
  3. Step 3: Cross multiply
    70,626.48x = 105,939.71 × 26,264.40
  4. Step 4: Simplify right side
    70,626.48x = 2,782,442,389.63
  5. Step 5: Solve for x
    x = 2,782,442,389.63/70,626.48
  6. Step 6: Final answer
    x = 39,396.59

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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.