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Finding the Fourth Proportional to 35,660.54, 49,211.53 and 19,746

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Solution

The fourth proportional to 35,660.54, 49,211.53 and 19,746 is: 27,249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,660.54 : 49,211.53 = 19,746 : x
  2. Step 2: Convert to fraction form
    35,660.54/49,211.53 = 19,746/x
  3. Step 3: Cross multiply
    35,660.54x = 49,211.53 × 19,746
  4. Step 4: Simplify right side
    35,660.54x = 971,730,822.02
  5. Step 5: Solve for x
    x = 971,730,822.02/35,660.54
  6. Step 6: Final answer
    x = 27,249.47

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