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Finding the Fourth Proportional to 55,102.51, 76,019.65 and 35,976.18

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Solution

The fourth proportional to 55,102.51, 76,019.65 and 35,976.18 is: 49,632.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,102.51 : 76,019.65 = 35,976.18 : x
  2. Step 2: Convert to fraction form
    55,102.51/76,019.65 = 35,976.18/x
  3. Step 3: Cross multiply
    55,102.51x = 76,019.65 × 35,976.18
  4. Step 4: Simplify right side
    55,102.51x = 2,734,896,807.07
  5. Step 5: Solve for x
    x = 2,734,896,807.07/55,102.51
  6. Step 6: Final answer
    x = 49,632.89

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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.