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Finding the Fourth Proportional to 35,671.64, 49,228.34 and 19,756.10

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Solution

The fourth proportional to 35,671.64, 49,228.34 and 19,756.10 is: 27,264.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,671.64 : 49,228.34 = 19,756.10 : x
  2. Step 2: Convert to fraction form
    35,671.64/49,228.34 = 19,756.10/x
  3. Step 3: Cross multiply
    35,671.64x = 49,228.34 × 19,756.10
  4. Step 4: Simplify right side
    35,671.64x = 972,560,007.87
  5. Step 5: Solve for x
    x = 972,560,007.87/35,671.64
  6. Step 6: Final answer
    x = 27,264.24

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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.