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Finding the Fourth Proportional to 31,102.47, 46,653.64 and 7,728.91

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Solution

The fourth proportional to 31,102.47, 46,653.64 and 7,728.91 is: 11,593.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,102.47 : 46,653.64 = 7,728.91 : x
  2. Step 2: Convert to fraction form
    31,102.47/46,653.64 = 7,728.91/x
  3. Step 3: Cross multiply
    31,102.47x = 46,653.64 × 7,728.91
  4. Step 4: Simplify right side
    31,102.47x = 360,581,648.78
  5. Step 5: Solve for x
    x = 360,581,648.78/31,102.47
  6. Step 6: Final answer
    x = 11,593.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.