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Finding the Fourth Proportional to 75,140.87, 103,568.42 and 59,984.96

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Solution

The fourth proportional to 75,140.87, 103,568.42 and 59,984.96 is: 82,678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,140.87 : 103,568.42 = 59,984.96 : x
  2. Step 2: Convert to fraction form
    75,140.87/103,568.42 = 59,984.96/x
  3. Step 3: Cross multiply
    75,140.87x = 103,568.42 × 59,984.96
  4. Step 4: Simplify right side
    75,140.87x = 6,212,547,163.08
  5. Step 5: Solve for x
    x = 6,212,547,163.08/75,140.87
  6. Step 6: Final answer
    x = 82,678.68

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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.