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Finding the Fourth Proportional to 35,424, 48,884.20 and 19,508.28

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Solution

The fourth proportional to 35,424, 48,884.20 and 19,508.28 is: 26,920.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,424 : 48,884.20 = 19,508.28 : x
  2. Step 2: Convert to fraction form
    35,424/48,884.20 = 19,508.28/x
  3. Step 3: Cross multiply
    35,424x = 48,884.20 × 19,508.28
  4. Step 4: Simplify right side
    35,424x = 953,646,661.18
  5. Step 5: Solve for x
    x = 953,646,661.18/35,424
  6. Step 6: Final answer
    x = 26,920.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.