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Finding the Fourth Proportional to 40,777.60, 56,275.32 and 22,878.28

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Solution

The fourth proportional to 40,777.60, 56,275.32 and 22,878.28 is: 31,573.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,777.60 : 56,275.32 = 22,878.28 : x
  2. Step 2: Convert to fraction form
    40,777.60/56,275.32 = 22,878.28/x
  3. Step 3: Cross multiply
    40,777.60x = 56,275.32 × 22,878.28
  4. Step 4: Simplify right side
    40,777.60x = 1,287,482,528.05
  5. Step 5: Solve for x
    x = 1,287,482,528.05/40,777.60
  6. Step 6: Final answer
    x = 31,573.28

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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.