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Finding the Fourth Proportional to 35,851.61, 49,461 and 20,741.46

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Solution

The fourth proportional to 35,851.61, 49,461 and 20,741.46 is: 28,614.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,851.61 : 49,461 = 20,741.46 : x
  2. Step 2: Convert to fraction form
    35,851.61/49,461 = 20,741.46/x
  3. Step 3: Cross multiply
    35,851.61x = 49,461 × 20,741.46
  4. Step 4: Simplify right side
    35,851.61x = 1,025,893,353.06
  5. Step 5: Solve for x
    x = 1,025,893,353.06/35,851.61
  6. Step 6: Final answer
    x = 28,614.99

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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.