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Finding the Fourth Proportional to 55,896.38, 77,138.00 and 30,403.31

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Solution

The fourth proportional to 55,896.38, 77,138.00 and 30,403.31 is: 41,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,896.38 : 77,138.00 = 30,403.31 : x
  2. Step 2: Convert to fraction form
    55,896.38/77,138.00 = 30,403.31/x
  3. Step 3: Cross multiply
    55,896.38x = 77,138.00 × 30,403.31
  4. Step 4: Simplify right side
    55,896.38x = 2,345,249,989.07
  5. Step 5: Solve for x
    x = 2,345,249,989.07/55,896.38
  6. Step 6: Final answer
    x = 41,957.10

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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.