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Finding the Fourth Proportional to 98,241.84, 135,572.40 and 55,800

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Solution

The fourth proportional to 98,241.84, 135,572.40 and 55,800 is: 77,003.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,241.84 : 135,572.40 = 55,800 : x
  2. Step 2: Convert to fraction form
    98,241.84/135,572.40 = 55,800/x
  3. Step 3: Cross multiply
    98,241.84x = 135,572.40 × 55,800
  4. Step 4: Simplify right side
    98,241.84x = 7,564,939,920
  5. Step 5: Solve for x
    x = 7,564,939,920/98,241.84
  6. Step 6: Final answer
    x = 77,003.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.