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Finding the Fourth Proportional to 35,576.61, 49,098.82 and 19,664.16

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Solution

The fourth proportional to 35,576.61, 49,098.82 and 19,664.16 is: 27,138.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,576.61 : 49,098.82 = 19,664.16 : x
  2. Step 2: Convert to fraction form
    35,576.61/49,098.82 = 19,664.16/x
  3. Step 3: Cross multiply
    35,576.61x = 49,098.82 × 19,664.16
  4. Step 4: Simplify right side
    35,576.61x = 965,487,052.29
  5. Step 5: Solve for x
    x = 965,487,052.29/35,576.61
  6. Step 6: Final answer
    x = 27,138.25

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1.5x scale

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.