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Finding the Fourth Proportional to 76,641.68, 114,968.04 and 24,050.42

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Solution

The fourth proportional to 76,641.68, 114,968.04 and 24,050.42 is: 36,077.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,641.68 : 114,968.04 = 24,050.42 : x
  2. Step 2: Convert to fraction form
    76,641.68/114,968.04 = 24,050.42/x
  3. Step 3: Cross multiply
    76,641.68x = 114,968.04 × 24,050.42
  4. Step 4: Simplify right side
    76,641.68x = 2,765,029,648.58
  5. Step 5: Solve for x
    x = 2,765,029,648.58/76,641.68
  6. Step 6: Final answer
    x = 36,077.36

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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.