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Finding the Fourth Proportional to 31,069.09, 46,610.16 and 10,010.71

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Solution

The fourth proportional to 31,069.09, 46,610.16 and 10,010.71 is: 15,018.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,069.09 : 46,610.16 = 10,010.71 : x
  2. Step 2: Convert to fraction form
    31,069.09/46,610.16 = 10,010.71/x
  3. Step 3: Cross multiply
    31,069.09x = 46,610.16 × 10,010.71
  4. Step 4: Simplify right side
    31,069.09x = 466,600,794.81
  5. Step 5: Solve for x
    x = 466,600,794.81/31,069.09
  6. Step 6: Final answer
    x = 15,018.17

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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.