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Finding the Fourth Proportional to 47,754.41, 71,607 and 21,436.59

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Solution

The fourth proportional to 47,754.41, 71,607 and 21,436.59 is: 32,143.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,754.41 : 71,607 = 21,436.59 : x
  2. Step 2: Convert to fraction form
    47,754.41/71,607 = 21,436.59/x
  3. Step 3: Cross multiply
    47,754.41x = 71,607 × 21,436.59
  4. Step 4: Simplify right side
    47,754.41x = 1,535,009,900.13
  5. Step 5: Solve for x
    x = 1,535,009,900.13/47,754.41
  6. Step 6: Final answer
    x = 32,143.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.