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Finding the Fourth Proportional to 54,856.68, 75,701.88 and 29,706

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Solution

The fourth proportional to 54,856.68, 75,701.88 and 29,706 is: 40,994.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,856.68 : 75,701.88 = 29,706 : x
  2. Step 2: Convert to fraction form
    54,856.68/75,701.88 = 29,706/x
  3. Step 3: Cross multiply
    54,856.68x = 75,701.88 × 29,706
  4. Step 4: Simplify right side
    54,856.68x = 2,248,800,047.28
  5. Step 5: Solve for x
    x = 2,248,800,047.28/54,856.68
  6. Step 6: Final answer
    x = 40,994.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.