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Finding the Fourth Proportional to 35,952, 49,614.08 and 21,048.32

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Solution

The fourth proportional to 35,952, 49,614.08 and 21,048.32 is: 29,046.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,952 : 49,614.08 = 21,048.32 : x
  2. Step 2: Convert to fraction form
    35,952/49,614.08 = 21,048.32/x
  3. Step 3: Cross multiply
    35,952x = 49,614.08 × 21,048.32
  4. Step 4: Simplify right side
    35,952x = 1,044,293,032.35
  5. Step 5: Solve for x
    x = 1,044,293,032.35/35,952
  6. Step 6: Final answer
    x = 29,046.87

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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.