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Finding the Fourth Proportional to 58,665.84, 87,871.32 and 36,107.76

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Solution

The fourth proportional to 58,665.84, 87,871.32 and 36,107.76 is: 54,083.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,665.84 : 87,871.32 = 36,107.76 : x
  2. Step 2: Convert to fraction form
    58,665.84/87,871.32 = 36,107.76/x
  3. Step 3: Cross multiply
    58,665.84x = 87,871.32 × 36,107.76
  4. Step 4: Simplify right side
    58,665.84x = 3,172,836,533.44
  5. Step 5: Solve for x
    x = 3,172,836,533.44/58,665.84
  6. Step 6: Final answer
    x = 54,083.20

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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.