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Finding the Fourth Proportional to 65,294.51, 97,950.47 and 32,015.66

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Solution

The fourth proportional to 65,294.51, 97,950.47 and 32,015.66 is: 48,027.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,294.51 : 97,950.47 = 32,015.66 : x
  2. Step 2: Convert to fraction form
    65,294.51/97,950.47 = 32,015.66/x
  3. Step 3: Cross multiply
    65,294.51x = 97,950.47 × 32,015.66
  4. Step 4: Simplify right side
    65,294.51x = 3,135,948,294.53
  5. Step 5: Solve for x
    x = 3,135,948,294.53/65,294.51
  6. Step 6: Final answer
    x = 48,027.75

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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.