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Finding the Fourth Proportional to 48,643.85, 72,922.71 and 19,082.90

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Solution

The fourth proportional to 48,643.85, 72,922.71 and 19,082.90 is: 28,607.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,643.85 : 72,922.71 = 19,082.90 : x
  2. Step 2: Convert to fraction form
    48,643.85/72,922.71 = 19,082.90/x
  3. Step 3: Cross multiply
    48,643.85x = 72,922.71 × 19,082.90
  4. Step 4: Simplify right side
    48,643.85x = 1,391,576,782.66
  5. Step 5: Solve for x
    x = 1,391,576,782.66/48,643.85
  6. Step 6: Final answer
    x = 28,607.46

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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.