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Finding the Fourth Proportional to 35,354.88, 48,784.32 and 20,448

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Solution

The fourth proportional to 35,354.88, 48,784.32 and 20,448 is: 28,215.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,354.88 : 48,784.32 = 20,448 : x
  2. Step 2: Convert to fraction form
    35,354.88/48,784.32 = 20,448/x
  3. Step 3: Cross multiply
    35,354.88x = 48,784.32 × 20,448
  4. Step 4: Simplify right side
    35,354.88x = 997,541,775.36
  5. Step 5: Solve for x
    x = 997,541,775.36/35,354.88
  6. Step 6: Final answer
    x = 28,215.11

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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.