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Finding the Fourth Proportional to 31,232.65, 46,848.99 and 7,859.08

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Solution

The fourth proportional to 31,232.65, 46,848.99 and 7,859.08 is: 11,788.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,232.65 : 46,848.99 = 7,859.08 : x
  2. Step 2: Convert to fraction form
    31,232.65/46,848.99 = 7,859.08/x
  3. Step 3: Cross multiply
    31,232.65x = 46,848.99 × 7,859.08
  4. Step 4: Simplify right side
    31,232.65x = 368,189,921.03
  5. Step 5: Solve for x
    x = 368,189,921.03/31,232.65
  6. Step 6: Final answer
    x = 11,788.62

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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.