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Finding the Fourth Proportional to 31,133.14, 46,699.52 and 14,484

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Solution

The fourth proportional to 31,133.14, 46,699.52 and 14,484 is: 21,725.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,133.14 : 46,699.52 = 14,484 : x
  2. Step 2: Convert to fraction form
    31,133.14/46,699.52 = 14,484/x
  3. Step 3: Cross multiply
    31,133.14x = 46,699.52 × 14,484
  4. Step 4: Simplify right side
    31,133.14x = 676,395,847.68
  5. Step 5: Solve for x
    x = 676,395,847.68/31,133.14
  6. Step 6: Final answer
    x = 21,725.91

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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.