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Finding the Fourth Proportional to 31,133.75, 46,701.03 and 10,357.25

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Solution

The fourth proportional to 31,133.75, 46,701.03 and 10,357.25 is: 15,536.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,133.75 : 46,701.03 = 10,357.25 : x
  2. Step 2: Convert to fraction form
    31,133.75/46,701.03 = 10,357.25/x
  3. Step 3: Cross multiply
    31,133.75x = 46,701.03 × 10,357.25
  4. Step 4: Simplify right side
    31,133.75x = 483,694,242.97
  5. Step 5: Solve for x
    x = 483,694,242.97/31,133.75
  6. Step 6: Final answer
    x = 15,536.01

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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.