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Finding the Fourth Proportional to 58,114, 87,033.24 and 36,978.64

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Solution

The fourth proportional to 58,114, 87,033.24 and 36,978.64 is: 55,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,114 : 87,033.24 = 36,978.64 : x
  2. Step 2: Convert to fraction form
    58,114/87,033.24 = 36,978.64/x
  3. Step 3: Cross multiply
    58,114x = 87,033.24 × 36,978.64
  4. Step 4: Simplify right side
    58,114x = 3,218,370,849.99
  5. Step 5: Solve for x
    x = 3,218,370,849.99/58,114
  6. Step 6: Final answer
    x = 55,380.30

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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.