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Finding the Fourth Proportional to 48,726.26, 73,097.03 and 20,646.50

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Solution

The fourth proportional to 48,726.26, 73,097.03 and 20,646.50 is: 30,972.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,726.26 : 73,097.03 = 20,646.50 : x
  2. Step 2: Convert to fraction form
    48,726.26/73,097.03 = 20,646.50/x
  3. Step 3: Cross multiply
    48,726.26x = 73,097.03 × 20,646.50
  4. Step 4: Simplify right side
    48,726.26x = 1,509,197,516.03
  5. Step 5: Solve for x
    x = 1,509,197,516.03/48,726.26
  6. Step 6: Final answer
    x = 30,972.98

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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.