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Finding the Fourth Proportional to 31,004.40, 46,505.16 and 10,228.08

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Solution

The fourth proportional to 31,004.40, 46,505.16 and 10,228.08 is: 15,341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,004.40 : 46,505.16 = 10,228.08 : x
  2. Step 2: Convert to fraction form
    31,004.40/46,505.16 = 10,228.08/x
  3. Step 3: Cross multiply
    31,004.40x = 46,505.16 × 10,228.08
  4. Step 4: Simplify right side
    31,004.40x = 475,658,496.89
  5. Step 5: Solve for x
    x = 475,658,496.89/31,004.40
  6. Step 6: Final answer
    x = 15,341.64

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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.