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Finding the Fourth Proportional to 42,835, 59,143.48 and 34,383.61

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Solution

The fourth proportional to 42,835, 59,143.48 and 34,383.61 is: 47,474.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,835 : 59,143.48 = 34,383.61 : x
  2. Step 2: Convert to fraction form
    42,835/59,143.48 = 34,383.61/x
  3. Step 3: Cross multiply
    42,835x = 59,143.48 × 34,383.61
  4. Step 4: Simplify right side
    42,835x = 2,033,566,350.36
  5. Step 5: Solve for x
    x = 2,033,566,350.36/42,835
  6. Step 6: Final answer
    x = 47,474.41

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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.