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Finding the Fourth Proportional to 58,667.84, 87,874.32 and 36,109.76

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Solution

The fourth proportional to 58,667.84, 87,874.32 and 36,109.76 is: 54,086.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,667.84 : 87,874.32 = 36,109.76 : x
  2. Step 2: Convert to fraction form
    58,667.84/87,874.32 = 36,109.76/x
  3. Step 3: Cross multiply
    58,667.84x = 87,874.32 × 36,109.76
  4. Step 4: Simplify right side
    58,667.84x = 3,173,120,605.36
  5. Step 5: Solve for x
    x = 3,173,120,605.36/58,667.84
  6. Step 6: Final answer
    x = 54,086.20

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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.