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Finding the Fourth Proportional to 31,101.60, 46,639.44 and 10,320.96

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Solution

The fourth proportional to 31,101.60, 46,639.44 and 10,320.96 is: 15,477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,101.60 : 46,639.44 = 10,320.96 : x
  2. Step 2: Convert to fraction form
    31,101.60/46,639.44 = 10,320.96/x
  3. Step 3: Cross multiply
    31,101.60x = 46,639.44 × 10,320.96
  4. Step 4: Simplify right side
    31,101.60x = 481,363,794.66
  5. Step 5: Solve for x
    x = 481,363,794.66/31,101.60
  6. Step 6: Final answer
    x = 15,477.14

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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.