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Finding the Fourth Proportional to 39,224.30, 58,835.93 and 9,642.41

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Solution

The fourth proportional to 39,224.30, 58,835.93 and 9,642.41 is: 14,463.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,224.30 : 58,835.93 = 9,642.41 : x
  2. Step 2: Convert to fraction form
    39,224.30/58,835.93 = 9,642.41/x
  3. Step 3: Cross multiply
    39,224.30x = 58,835.93 × 9,642.41
  4. Step 4: Simplify right side
    39,224.30x = 567,319,817.40
  5. Step 5: Solve for x
    x = 567,319,817.40/39,224.30
  6. Step 6: Final answer
    x = 14,463.48

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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.