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Finding the Fourth Proportional to 32,797.95, 45,267.90 and 20,859

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Solution

The fourth proportional to 32,797.95, 45,267.90 and 20,859 is: 28,789.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,797.95 : 45,267.90 = 20,859 : x
  2. Step 2: Convert to fraction form
    32,797.95/45,267.90 = 20,859/x
  3. Step 3: Cross multiply
    32,797.95x = 45,267.90 × 20,859
  4. Step 4: Simplify right side
    32,797.95x = 944,243,126.10
  5. Step 5: Solve for x
    x = 944,243,126.10/32,797.95
  6. Step 6: Final answer
    x = 28,789.70

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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.