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Finding the Fourth Proportional to 35,758, 49,346.04 and 19,845.01

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Solution

The fourth proportional to 35,758, 49,346.04 and 19,845.01 is: 27,386.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,758 : 49,346.04 = 19,845.01 : x
  2. Step 2: Convert to fraction form
    35,758/49,346.04 = 19,845.01/x
  3. Step 3: Cross multiply
    35,758x = 49,346.04 × 19,845.01
  4. Step 4: Simplify right side
    35,758x = 979,272,657.26
  5. Step 5: Solve for x
    x = 979,272,657.26/35,758
  6. Step 6: Final answer
    x = 27,386.11

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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.