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Finding the Fourth Proportional to 35,418, 48,876.84 and 19,502.42

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Solution

The fourth proportional to 35,418, 48,876.84 and 19,502.42 is: 26,913.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,418 : 48,876.84 = 19,502.42 : x
  2. Step 2: Convert to fraction form
    35,418/48,876.84 = 19,502.42/x
  3. Step 3: Cross multiply
    35,418x = 48,876.84 × 19,502.42
  4. Step 4: Simplify right side
    35,418x = 953,216,417.57
  5. Step 5: Solve for x
    x = 953,216,417.57/35,418
  6. Step 6: Final answer
    x = 26,913.33

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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.