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Finding the Fourth Proportional to 42,658.32, 58,868.62 and 23,796.66

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Solution

The fourth proportional to 42,658.32, 58,868.62 and 23,796.66 is: 32,839.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,658.32 : 58,868.62 = 23,796.66 : x
  2. Step 2: Convert to fraction form
    42,658.32/58,868.62 = 23,796.66/x
  3. Step 3: Cross multiply
    42,658.32x = 58,868.62 × 23,796.66
  4. Step 4: Simplify right side
    42,658.32x = 1,400,876,534.81
  5. Step 5: Solve for x
    x = 1,400,876,534.81/42,658.32
  6. Step 6: Final answer
    x = 32,839.47

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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.