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Finding the Fourth Proportional to 35,322.70, 48,746.10 and 19,408.06

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Solution

The fourth proportional to 35,322.70, 48,746.10 and 19,408.06 is: 26,783.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,322.70 : 48,746.10 = 19,408.06 : x
  2. Step 2: Convert to fraction form
    35,322.70/48,746.10 = 19,408.06/x
  3. Step 3: Cross multiply
    35,322.70x = 48,746.10 × 19,408.06
  4. Step 4: Simplify right side
    35,322.70x = 946,067,233.57
  5. Step 5: Solve for x
    x = 946,067,233.57/35,322.70
  6. Step 6: Final answer
    x = 26,783.55

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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.