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Finding the Fourth Proportional to 31,066.52, 46,584.62 and 10,283

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Solution

The fourth proportional to 31,066.52, 46,584.62 and 10,283 is: 15,419.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,066.52 : 46,584.62 = 10,283 : x
  2. Step 2: Convert to fraction form
    31,066.52/46,584.62 = 10,283/x
  3. Step 3: Cross multiply
    31,066.52x = 46,584.62 × 10,283
  4. Step 4: Simplify right side
    31,066.52x = 479,029,647.46
  5. Step 5: Solve for x
    x = 479,029,647.46/31,066.52
  6. Step 6: Final answer
    x = 15,419.48

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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.