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Finding the Fourth Proportional to 105,344.96, 157,943.46 and 38,776.46

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Solution

The fourth proportional to 105,344.96, 157,943.46 and 38,776.46 is: 58,137.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,344.96 : 157,943.46 = 38,776.46 : x
  2. Step 2: Convert to fraction form
    105,344.96/157,943.46 = 38,776.46/x
  3. Step 3: Cross multiply
    105,344.96x = 157,943.46 × 38,776.46
  4. Step 4: Simplify right side
    105,344.96x = 6,124,488,258.95
  5. Step 5: Solve for x
    x = 6,124,488,258.95/105,344.96
  6. Step 6: Final answer
    x = 58,137.46

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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.