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Finding the Fourth Proportional to 31,097.45, 46,653.45 and 10,320.95

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Solution

The fourth proportional to 31,097.45, 46,653.45 and 10,320.95 is: 15,483.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,097.45 : 46,653.45 = 10,320.95 : x
  2. Step 2: Convert to fraction form
    31,097.45/46,653.45 = 10,320.95/x
  3. Step 3: Cross multiply
    31,097.45x = 46,653.45 × 10,320.95
  4. Step 4: Simplify right side
    31,097.45x = 481,507,691.51
  5. Step 5: Solve for x
    x = 481,507,691.51/31,097.45
  6. Step 6: Final answer
    x = 15,483.83

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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.