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Finding the Fourth Proportional to 98,263.86, 135,603.44 and 55,822.40

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Solution

The fourth proportional to 98,263.86, 135,603.44 and 55,822.40 is: 77,034.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,263.86 : 135,603.44 = 55,822.40 : x
  2. Step 2: Convert to fraction form
    98,263.86/135,603.44 = 55,822.40/x
  3. Step 3: Cross multiply
    98,263.86x = 135,603.44 × 55,822.40
  4. Step 4: Simplify right side
    98,263.86x = 7,569,709,469.06
  5. Step 5: Solve for x
    x = 7,569,709,469.06/98,263.86
  6. Step 6: Final answer
    x = 77,034.52

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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.