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Finding the Fourth Proportional to 65,205.36, 97,822.71 and 35,218.98

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Solution

The fourth proportional to 65,205.36, 97,822.71 and 35,218.98 is: 52,836.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,205.36 : 97,822.71 = 35,218.98 : x
  2. Step 2: Convert to fraction form
    65,205.36/97,822.71 = 35,218.98/x
  3. Step 3: Cross multiply
    65,205.36x = 97,822.71 × 35,218.98
  4. Step 4: Simplify right side
    65,205.36x = 3,445,216,067.04
  5. Step 5: Solve for x
    x = 3,445,216,067.04/65,205.36
  6. Step 6: Final answer
    x = 52,836.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.