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Finding the Fourth Proportional to 76,970.84, 115,459.49 and 24,379.16

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Solution

The fourth proportional to 76,970.84, 115,459.49 and 24,379.16 is: 36,569.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,970.84 : 115,459.49 = 24,379.16 : x
  2. Step 2: Convert to fraction form
    76,970.84/115,459.49 = 24,379.16/x
  3. Step 3: Cross multiply
    76,970.84x = 115,459.49 × 24,379.16
  4. Step 4: Simplify right side
    76,970.84x = 2,814,804,863.88
  5. Step 5: Solve for x
    x = 2,814,804,863.88/76,970.84
  6. Step 6: Final answer
    x = 36,569.76

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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.