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Finding the Fourth Proportional to 75,747, 113,682.06 and 64,724.52

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Solution

The fourth proportional to 75,747, 113,682.06 and 64,724.52 is: 97,139.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,747 : 113,682.06 = 64,724.52 : x
  2. Step 2: Convert to fraction form
    75,747/113,682.06 = 64,724.52/x
  3. Step 3: Cross multiply
    75,747x = 113,682.06 × 64,724.52
  4. Step 4: Simplify right side
    75,747x = 7,358,016,766.11
  5. Step 5: Solve for x
    x = 7,358,016,766.11/75,747
  6. Step 6: Final answer
    x = 97,139.38

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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.