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Finding the Fourth Proportional to 98,272.74, 135,620.01 and 55,838.46

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Solution

The fourth proportional to 98,272.74, 135,620.01 and 55,838.46 is: 77,059.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,272.74 : 135,620.01 = 55,838.46 : x
  2. Step 2: Convert to fraction form
    98,272.74/135,620.01 = 55,838.46/x
  3. Step 3: Cross multiply
    98,272.74x = 135,620.01 × 55,838.46
  4. Step 4: Simplify right side
    98,272.74x = 7,572,812,503.58
  5. Step 5: Solve for x
    x = 7,572,812,503.58/98,272.74
  6. Step 6: Final answer
    x = 77,059.14

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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.