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Finding the Fourth Proportional to 65,111.70, 97,408.35 and 56,442.90

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Solution

The fourth proportional to 65,111.70, 97,408.35 and 56,442.90 is: 84,439.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,111.70 : 97,408.35 = 56,442.90 : x
  2. Step 2: Convert to fraction form
    65,111.70/97,408.35 = 56,442.90/x
  3. Step 3: Cross multiply
    65,111.70x = 97,408.35 × 56,442.90
  4. Step 4: Simplify right side
    65,111.70x = 5,498,009,758.22
  5. Step 5: Solve for x
    x = 5,498,009,758.22/65,111.70
  6. Step 6: Final answer
    x = 84,439.66

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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.