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Finding the Fourth Proportional to 65,221.98, 97,746.18 and 42,704.11

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Solution

The fourth proportional to 65,221.98, 97,746.18 and 42,704.11 is: 63,999.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,221.98 : 97,746.18 = 42,704.11 : x
  2. Step 2: Convert to fraction form
    65,221.98/97,746.18 = 42,704.11/x
  3. Step 3: Cross multiply
    65,221.98x = 97,746.18 × 42,704.11
  4. Step 4: Simplify right side
    65,221.98x = 4,174,163,622.80
  5. Step 5: Solve for x
    x = 4,174,163,622.80/65,221.98
  6. Step 6: Final answer
    x = 63,999.34

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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.