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Finding the Fourth Proportional to 47,679.75, 65,810.16 and 32,578.53

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Solution

The fourth proportional to 47,679.75, 65,810.16 and 32,578.53 is: 44,966.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,679.75 : 65,810.16 = 32,578.53 : x
  2. Step 2: Convert to fraction form
    47,679.75/65,810.16 = 32,578.53/x
  3. Step 3: Cross multiply
    47,679.75x = 65,810.16 × 32,578.53
  4. Step 4: Simplify right side
    47,679.75x = 2,143,998,271.86
  5. Step 5: Solve for x
    x = 2,143,998,271.86/47,679.75
  6. Step 6: Final answer
    x = 44,966.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.