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Finding the Fourth Proportional to 39,381.24, 59,071.86 and 11,679

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Solution

The fourth proportional to 39,381.24, 59,071.86 and 11,679 is: 17,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,381.24 : 59,071.86 = 11,679 : x
  2. Step 2: Convert to fraction form
    39,381.24/59,071.86 = 11,679/x
  3. Step 3: Cross multiply
    39,381.24x = 59,071.86 × 11,679
  4. Step 4: Simplify right side
    39,381.24x = 689,900,252.94
  5. Step 5: Solve for x
    x = 689,900,252.94/39,381.24
  6. Step 6: Final answer
    x = 17,518.50

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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.