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Finding the Fourth Proportional to 31,792.32, 47,569.14 and 19,788.12

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Solution

The fourth proportional to 31,792.32, 47,569.14 and 19,788.12 is: 29,607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,792.32 : 47,569.14 = 19,788.12 : x
  2. Step 2: Convert to fraction form
    31,792.32/47,569.14 = 19,788.12/x
  3. Step 3: Cross multiply
    31,792.32x = 47,569.14 × 19,788.12
  4. Step 4: Simplify right side
    31,792.32x = 941,303,850.62
  5. Step 5: Solve for x
    x = 941,303,850.62/31,792.32
  6. Step 6: Final answer
    x = 29,607.90

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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.