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Finding the Fourth Proportional to 31,113.65, 46,670.37 and 7,740.09

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Solution

The fourth proportional to 31,113.65, 46,670.37 and 7,740.09 is: 11,610.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,113.65 : 46,670.37 = 7,740.09 : x
  2. Step 2: Convert to fraction form
    31,113.65/46,670.37 = 7,740.09/x
  3. Step 3: Cross multiply
    31,113.65x = 46,670.37 × 7,740.09
  4. Step 4: Simplify right side
    31,113.65x = 361,232,864.13
  5. Step 5: Solve for x
    x = 361,232,864.13/31,113.65
  6. Step 6: Final answer
    x = 11,610.11

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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.