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Finding the Fourth Proportional to 35,782.61, 53,411.33 and 33,143.63

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Solution

The fourth proportional to 35,782.61, 53,411.33 and 33,143.63 is: 49,472.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,782.61 : 53,411.33 = 33,143.63 : x
  2. Step 2: Convert to fraction form
    35,782.61/53,411.33 = 33,143.63/x
  3. Step 3: Cross multiply
    35,782.61x = 53,411.33 × 33,143.63
  4. Step 4: Simplify right side
    35,782.61x = 1,770,245,175.13
  5. Step 5: Solve for x
    x = 1,770,245,175.13/35,782.61
  6. Step 6: Final answer
    x = 49,472.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.