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Finding the Fourth Proportional to 69,582.70, 96,074.04 and 42,761.16

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Solution

The fourth proportional to 69,582.70, 96,074.04 and 42,761.16 is: 59,041.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,582.70 : 96,074.04 = 42,761.16 : x
  2. Step 2: Convert to fraction form
    69,582.70/96,074.04 = 42,761.16/x
  3. Step 3: Cross multiply
    69,582.70x = 96,074.04 × 42,761.16
  4. Step 4: Simplify right side
    69,582.70x = 4,108,237,396.29
  5. Step 5: Solve for x
    x = 4,108,237,396.29/69,582.70
  6. Step 6: Final answer
    x = 59,041.07

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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.