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Finding the Fourth Proportional to 55,833.16, 77,051.22 and 30,683.32

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Solution

The fourth proportional to 55,833.16, 77,051.22 and 30,683.32 is: 42,343.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,833.16 : 77,051.22 = 30,683.32 : x
  2. Step 2: Convert to fraction form
    55,833.16/77,051.22 = 30,683.32/x
  3. Step 3: Cross multiply
    55,833.16x = 77,051.22 × 30,683.32
  4. Step 4: Simplify right side
    55,833.16x = 2,364,187,239.65
  5. Step 5: Solve for x
    x = 2,364,187,239.65/55,833.16
  6. Step 6: Final answer
    x = 42,343.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.