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Finding the Fourth Proportional to 76,697.78, 115,051.63 and 24,109.30

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Solution

The fourth proportional to 76,697.78, 115,051.63 and 24,109.30 is: 36,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,697.78 : 115,051.63 = 24,109.30 : x
  2. Step 2: Convert to fraction form
    76,697.78/115,051.63 = 24,109.30/x
  3. Step 3: Cross multiply
    76,697.78x = 115,051.63 × 24,109.30
  4. Step 4: Simplify right side
    76,697.78x = 2,773,814,263.16
  5. Step 5: Solve for x
    x = 2,773,814,263.16/76,697.78
  6. Step 6: Final answer
    x = 36,165.51

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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.