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Finding the Fourth Proportional to 76,643.35, 114,983.48 and 24,052.82

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Solution

The fourth proportional to 76,643.35, 114,983.48 and 24,052.82 is: 36,085.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,643.35 : 114,983.48 = 24,052.82 : x
  2. Step 2: Convert to fraction form
    76,643.35/114,983.48 = 24,052.82/x
  3. Step 3: Cross multiply
    76,643.35x = 114,983.48 × 24,052.82
  4. Step 4: Simplify right side
    76,643.35x = 2,765,676,432.63
  5. Step 5: Solve for x
    x = 2,765,676,432.63/76,643.35
  6. Step 6: Final answer
    x = 36,085.02

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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.