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Finding the Fourth Proportional to 42,658.36, 58,868.13 and 23,538.31

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Solution

The fourth proportional to 42,658.36, 58,868.13 and 23,538.31 is: 32,482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,658.36 : 58,868.13 = 23,538.31 : x
  2. Step 2: Convert to fraction form
    42,658.36/58,868.13 = 23,538.31/x
  3. Step 3: Cross multiply
    42,658.36x = 58,868.13 × 23,538.31
  4. Step 4: Simplify right side
    42,658.36x = 1,385,656,293.06
  5. Step 5: Solve for x
    x = 1,385,656,293.06/42,658.36
  6. Step 6: Final answer
    x = 32,482.64

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