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Finding the Fourth Proportional to 55,053.64, 75,975.02 and 31,185.27

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Solution

The fourth proportional to 55,053.64, 75,975.02 and 31,185.27 is: 43,036.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,053.64 : 75,975.02 = 31,185.27 : x
  2. Step 2: Convert to fraction form
    55,053.64/75,975.02 = 31,185.27/x
  3. Step 3: Cross multiply
    55,053.64x = 75,975.02 × 31,185.27
  4. Step 4: Simplify right side
    55,053.64x = 2,369,301,511.96
  5. Step 5: Solve for x
    x = 2,369,301,511.96/55,053.64
  6. Step 6: Final answer
    x = 43,036.24

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Why These Related Problems?

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