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Finding the Fourth Proportional to 33,807.15, 46,656.78 and 19,659

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Solution

The fourth proportional to 33,807.15, 46,656.78 and 19,659 is: 27,131.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,807.15 : 46,656.78 = 19,659 : x
  2. Step 2: Convert to fraction form
    33,807.15/46,656.78 = 19,659/x
  3. Step 3: Cross multiply
    33,807.15x = 46,656.78 × 19,659
  4. Step 4: Simplify right side
    33,807.15x = 917,225,638.02
  5. Step 5: Solve for x
    x = 917,225,638.02/33,807.15
  6. Step 6: Final answer
    x = 27,131.11

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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.