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Finding the Fourth Proportional to 35,323.97, 48,748.29 and 19,409

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Solution

The fourth proportional to 35,323.97, 48,748.29 and 19,409 is: 26,785.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,323.97 : 48,748.29 = 19,409 : x
  2. Step 2: Convert to fraction form
    35,323.97/48,748.29 = 19,409/x
  3. Step 3: Cross multiply
    35,323.97x = 48,748.29 × 19,409
  4. Step 4: Simplify right side
    35,323.97x = 946,155,560.61
  5. Step 5: Solve for x
    x = 946,155,560.61/35,323.97
  6. Step 6: Final answer
    x = 26,785.09

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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.