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Finding the Fourth Proportional to 32,777.09, 49,153.07 and 11,713.17

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Solution

The fourth proportional to 32,777.09, 49,153.07 and 11,713.17 is: 17,565.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,777.09 : 49,153.07 = 11,713.17 : x
  2. Step 2: Convert to fraction form
    32,777.09/49,153.07 = 11,713.17/x
  3. Step 3: Cross multiply
    32,777.09x = 49,153.07 × 11,713.17
  4. Step 4: Simplify right side
    32,777.09x = 575,738,264.93
  5. Step 5: Solve for x
    x = 575,738,264.93/32,777.09
  6. Step 6: Final answer
    x = 17,565.26

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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.