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Finding the Fourth Proportional to 70,407.06, 105,588.72 and 23,649

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Solution

The fourth proportional to 70,407.06, 105,588.72 and 23,649 is: 35,466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,407.06 : 105,588.72 = 23,649 : x
  2. Step 2: Convert to fraction form
    70,407.06/105,588.72 = 23,649/x
  3. Step 3: Cross multiply
    70,407.06x = 105,588.72 × 23,649
  4. Step 4: Simplify right side
    70,407.06x = 2,497,067,639.28
  5. Step 5: Solve for x
    x = 2,497,067,639.28/70,407.06
  6. Step 6: Final answer
    x = 35,466.15

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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.