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Finding the Fourth Proportional to 76,699.20, 115,052.70 and 24,109.20

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Solution

The fourth proportional to 76,699.20, 115,052.70 and 24,109.20 is: 36,165.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,699.20 : 115,052.70 = 24,109.20 : x
  2. Step 2: Convert to fraction form
    76,699.20/115,052.70 = 24,109.20/x
  3. Step 3: Cross multiply
    76,699.20x = 115,052.70 × 24,109.20
  4. Step 4: Simplify right side
    76,699.20x = 2,773,828,554.84
  5. Step 5: Solve for x
    x = 2,773,828,554.84/76,699.20
  6. Step 6: Final answer
    x = 36,165.03

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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.