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Finding the Fourth Proportional to 48,407.10, 72,619.14 and 22,114.50

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Solution

The fourth proportional to 48,407.10, 72,619.14 and 22,114.50 is: 33,175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,407.10 : 72,619.14 = 22,114.50 : x
  2. Step 2: Convert to fraction form
    48,407.10/72,619.14 = 22,114.50/x
  3. Step 3: Cross multiply
    48,407.10x = 72,619.14 × 22,114.50
  4. Step 4: Simplify right side
    48,407.10x = 1,605,935,971.53
  5. Step 5: Solve for x
    x = 1,605,935,971.53/48,407.10
  6. Step 6: Final answer
    x = 33,175.63

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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.