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Finding the Fourth Proportional to 76,954.80, 115,435.80 and 24,368.40

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Solution

The fourth proportional to 76,954.80, 115,435.80 and 24,368.40 is: 36,553.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,954.80 : 115,435.80 = 24,368.40 : x
  2. Step 2: Convert to fraction form
    76,954.80/115,435.80 = 24,368.40/x
  3. Step 3: Cross multiply
    76,954.80x = 115,435.80 × 24,368.40
  4. Step 4: Simplify right side
    76,954.80x = 2,812,985,748.72
  5. Step 5: Solve for x
    x = 2,812,985,748.72/76,954.80
  6. Step 6: Final answer
    x = 36,553.74

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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.