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Finding the Fourth Proportional to 98,047.44, 135,304.20 and 53,335.44

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Solution

The fourth proportional to 98,047.44, 135,304.20 and 53,335.44 is: 73,602.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,047.44 : 135,304.20 = 53,335.44 : x
  2. Step 2: Convert to fraction form
    98,047.44/135,304.20 = 53,335.44/x
  3. Step 3: Cross multiply
    98,047.44x = 135,304.20 × 53,335.44
  4. Step 4: Simplify right side
    98,047.44x = 7,216,509,040.85
  5. Step 5: Solve for x
    x = 7,216,509,040.85/98,047.44
  6. Step 6: Final answer
    x = 73,602.22

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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.