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Finding the Fourth Proportional to 98,434.89, 135,838.94 and 55,993.32

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Solution

The fourth proportional to 98,434.89, 135,838.94 and 55,993.32 is: 77,270.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,434.89 : 135,838.94 = 55,993.32 : x
  2. Step 2: Convert to fraction form
    98,434.89/135,838.94 = 55,993.32/x
  3. Step 3: Cross multiply
    98,434.89x = 135,838.94 × 55,993.32
  4. Step 4: Simplify right side
    98,434.89x = 7,606,072,955.91
  5. Step 5: Solve for x
    x = 7,606,072,955.91/98,434.89
  6. Step 6: Final answer
    x = 77,270.09

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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.