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Finding the Fourth Proportional to 76,963.77, 115,457.40 and 32,590.76

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Solution

The fourth proportional to 76,963.77, 115,457.40 and 32,590.76 is: 48,891.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,963.77 : 115,457.40 = 32,590.76 : x
  2. Step 2: Convert to fraction form
    76,963.77/115,457.40 = 32,590.76/x
  3. Step 3: Cross multiply
    76,963.77x = 115,457.40 × 32,590.76
  4. Step 4: Simplify right side
    76,963.77x = 3,762,843,836.34
  5. Step 5: Solve for x
    x = 3,762,843,836.34/76,963.77
  6. Step 6: Final answer
    x = 48,891.11

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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.