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Finding the Fourth Proportional to 70,233.76, 105,347.84 and 38,706.33

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Solution

The fourth proportional to 70,233.76, 105,347.84 and 38,706.33 is: 58,057.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,233.76 : 105,347.84 = 38,706.33 : x
  2. Step 2: Convert to fraction form
    70,233.76/105,347.84 = 38,706.33/x
  3. Step 3: Cross multiply
    70,233.76x = 105,347.84 × 38,706.33
  4. Step 4: Simplify right side
    70,233.76x = 4,077,628,461.35
  5. Step 5: Solve for x
    x = 4,077,628,461.35/70,233.76
  6. Step 6: Final answer
    x = 58,057.95

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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.