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Finding the Fourth Proportional to 31,064.84, 46,591.50 and 10,285.64

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Solution

The fourth proportional to 31,064.84, 46,591.50 and 10,285.64 is: 15,426.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,064.84 : 46,591.50 = 10,285.64 : x
  2. Step 2: Convert to fraction form
    31,064.84/46,591.50 = 10,285.64/x
  3. Step 3: Cross multiply
    31,064.84x = 46,591.50 × 10,285.64
  4. Step 4: Simplify right side
    31,064.84x = 479,223,396.06
  5. Step 5: Solve for x
    x = 479,223,396.06/31,064.84
  6. Step 6: Final answer
    x = 15,426.55

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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.