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Finding the Fourth Proportional to 98,382.51, 135,767.88 and 55,943.64

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Solution

The fourth proportional to 98,382.51, 135,767.88 and 55,943.64 is: 77,202.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,382.51 : 135,767.88 = 55,943.64 : x
  2. Step 2: Convert to fraction form
    98,382.51/135,767.88 = 55,943.64/x
  3. Step 3: Cross multiply
    98,382.51x = 135,767.88 × 55,943.64
  4. Step 4: Simplify right side
    98,382.51x = 7,595,349,402.28
  5. Step 5: Solve for x
    x = 7,595,349,402.28/98,382.51
  6. Step 6: Final answer
    x = 77,202.23

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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.