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Finding the Fourth Proportional to 53,396, 73,686.48 and 29,844

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Solution

The fourth proportional to 53,396, 73,686.48 and 29,844 is: 41,184.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,396 : 73,686.48 = 29,844 : x
  2. Step 2: Convert to fraction form
    53,396/73,686.48 = 29,844/x
  3. Step 3: Cross multiply
    53,396x = 73,686.48 × 29,844
  4. Step 4: Simplify right side
    53,396x = 2,199,099,309.12
  5. Step 5: Solve for x
    x = 2,199,099,309.12/53,396
  6. Step 6: Final answer
    x = 41,184.72

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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.