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Finding the Fourth Proportional to 35,920, 49,570.56 and 20,005.12

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Solution

The fourth proportional to 35,920, 49,570.56 and 20,005.12 is: 27,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,920 : 49,570.56 = 20,005.12 : x
  2. Step 2: Convert to fraction form
    35,920/49,570.56 = 20,005.12/x
  3. Step 3: Cross multiply
    35,920x = 49,570.56 × 20,005.12
  4. Step 4: Simplify right side
    35,920x = 991,665,001.27
  5. Step 5: Solve for x
    x = 991,665,001.27/35,920
  6. Step 6: Final answer
    x = 27,607.60

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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.