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Finding the Fourth Proportional to 31,113.70, 46,670.55 and 15,529.30

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Solution

The fourth proportional to 31,113.70, 46,670.55 and 15,529.30 is: 23,293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,113.70 : 46,670.55 = 15,529.30 : x
  2. Step 2: Convert to fraction form
    31,113.70/46,670.55 = 15,529.30/x
  3. Step 3: Cross multiply
    31,113.70x = 46,670.55 × 15,529.30
  4. Step 4: Simplify right side
    31,113.70x = 724,760,972.12
  5. Step 5: Solve for x
    x = 724,760,972.12/31,113.70
  6. Step 6: Final answer
    x = 23,293.95

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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.