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Finding the Fourth Proportional to 65,239.98, 97,897.64 and 35,254.32

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Solution

The fourth proportional to 65,239.98, 97,897.64 and 35,254.32 is: 52,901.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,239.98 : 97,897.64 = 35,254.32 : x
  2. Step 2: Convert to fraction form
    65,239.98/97,897.64 = 35,254.32/x
  3. Step 3: Cross multiply
    65,239.98x = 97,897.64 × 35,254.32
  4. Step 4: Simplify right side
    65,239.98x = 3,451,314,727.80
  5. Step 5: Solve for x
    x = 3,451,314,727.80/65,239.98
  6. Step 6: Final answer
    x = 52,901.84

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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.