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Finding the Fourth Proportional to 76,630.66, 114,960.57 and 24,026.02

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Solution

The fourth proportional to 76,630.66, 114,960.57 and 24,026.02 is: 36,043.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,630.66 : 114,960.57 = 24,026.02 : x
  2. Step 2: Convert to fraction form
    76,630.66/114,960.57 = 24,026.02/x
  3. Step 3: Cross multiply
    76,630.66x = 114,960.57 × 24,026.02
  4. Step 4: Simplify right side
    76,630.66x = 2,762,044,954.03
  5. Step 5: Solve for x
    x = 2,762,044,954.03/76,630.66
  6. Step 6: Final answer
    x = 36,043.60

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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.