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Finding the Fourth Proportional to 35,644.64, 49,195.71 and 20,534.60

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Solution

The fourth proportional to 35,644.64, 49,195.71 and 20,534.60 is: 28,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,644.64 : 49,195.71 = 20,534.60 : x
  2. Step 2: Convert to fraction form
    35,644.64/49,195.71 = 20,534.60/x
  3. Step 3: Cross multiply
    35,644.64x = 49,195.71 × 20,534.60
  4. Step 4: Simplify right side
    35,644.64x = 1,010,213,877.91
  5. Step 5: Solve for x
    x = 1,010,213,877.91/35,644.64
  6. Step 6: Final answer
    x = 28,341.26

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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.