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Finding the Fourth Proportional to 35,695.98, 49,258.38 and 19,779.48

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Solution

The fourth proportional to 35,695.98, 49,258.38 and 19,779.48 is: 27,294.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,695.98 : 49,258.38 = 19,779.48 : x
  2. Step 2: Convert to fraction form
    35,695.98/49,258.38 = 19,779.48/x
  3. Step 3: Cross multiply
    35,695.98x = 49,258.38 × 19,779.48
  4. Step 4: Simplify right side
    35,695.98x = 974,305,142.04
  5. Step 5: Solve for x
    x = 974,305,142.04/35,695.98
  6. Step 6: Final answer
    x = 27,294.53

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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.