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Finding the Fourth Proportional to 35,802.78, 49,437.74 and 29,865.57

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Solution

The fourth proportional to 35,802.78, 49,437.74 and 29,865.57 is: 41,239.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,802.78 : 49,437.74 = 29,865.57 : x
  2. Step 2: Convert to fraction form
    35,802.78/49,437.74 = 29,865.57/x
  3. Step 3: Cross multiply
    35,802.78x = 49,437.74 × 29,865.57
  4. Step 4: Simplify right side
    35,802.78x = 1,476,486,135.28
  5. Step 5: Solve for x
    x = 1,476,486,135.28/35,802.78
  6. Step 6: Final answer
    x = 41,239.43

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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.