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Finding the Fourth Proportional to 31,292.40, 46,938.19 and 7,600.14

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Solution

The fourth proportional to 31,292.40, 46,938.19 and 7,600.14 is: 11,400.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,292.40 : 46,938.19 = 7,600.14 : x
  2. Step 2: Convert to fraction form
    31,292.40/46,938.19 = 7,600.14/x
  3. Step 3: Cross multiply
    31,292.40x = 46,938.19 × 7,600.14
  4. Step 4: Simplify right side
    31,292.40x = 356,736,815.35
  5. Step 5: Solve for x
    x = 356,736,815.35/31,292.40
  6. Step 6: Final answer
    x = 11,400.11

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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.