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Finding the Fourth Proportional to 39,642.73, 59,464.04 and 9,656.95

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Solution

The fourth proportional to 39,642.73, 59,464.04 and 9,656.95 is: 14,485.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,642.73 : 59,464.04 = 9,656.95 : x
  2. Step 2: Convert to fraction form
    39,642.73/59,464.04 = 9,656.95/x
  3. Step 3: Cross multiply
    39,642.73x = 59,464.04 × 9,656.95
  4. Step 4: Simplify right side
    39,642.73x = 574,241,064.13
  5. Step 5: Solve for x
    x = 574,241,064.13/39,642.73
  6. Step 6: Final answer
    x = 14,485.41

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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.