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Finding the Fourth Proportional to 65,203.98, 97,805.01 and 20,830.14

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Solution

The fourth proportional to 65,203.98, 97,805.01 and 20,830.14 is: 31,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,203.98 : 97,805.01 = 20,830.14 : x
  2. Step 2: Convert to fraction form
    65,203.98/97,805.01 = 20,830.14/x
  3. Step 3: Cross multiply
    65,203.98x = 97,805.01 × 20,830.14
  4. Step 4: Simplify right side
    65,203.98x = 2,037,292,051.00
  5. Step 5: Solve for x
    x = 2,037,292,051.00/65,203.98
  6. Step 6: Final answer
    x = 31,244.90

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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.