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Finding the Fourth Proportional to 81,051, 121,567.32 and 21,883.20

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Solution

The fourth proportional to 81,051, 121,567.32 and 21,883.20 is: 32,822.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,051 : 121,567.32 = 21,883.20 : x
  2. Step 2: Convert to fraction form
    81,051/121,567.32 = 21,883.20/x
  3. Step 3: Cross multiply
    81,051x = 121,567.32 × 21,883.20
  4. Step 4: Simplify right side
    81,051x = 2,660,281,977.02
  5. Step 5: Solve for x
    x = 2,660,281,977.02/81,051
  6. Step 6: Final answer
    x = 32,822.32

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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.