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Finding the Fourth Proportional to 76,885.96, 115,345.87 and 23,585.28

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Solution

The fourth proportional to 76,885.96, 115,345.87 and 23,585.28 is: 35,383.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,885.96 : 115,345.87 = 23,585.28 : x
  2. Step 2: Convert to fraction form
    76,885.96/115,345.87 = 23,585.28/x
  3. Step 3: Cross multiply
    76,885.96x = 115,345.87 × 23,585.28
  4. Step 4: Simplify right side
    76,885.96x = 2,720,464,281.95
  5. Step 5: Solve for x
    x = 2,720,464,281.95/76,885.96
  6. Step 6: Final answer
    x = 35,383.11

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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.