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Finding the Fourth Proportional to 53,768, 74,199.84 and 30,216

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Solution

The fourth proportional to 53,768, 74,199.84 and 30,216 is: 41,698.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,768 : 74,199.84 = 30,216 : x
  2. Step 2: Convert to fraction form
    53,768/74,199.84 = 30,216/x
  3. Step 3: Cross multiply
    53,768x = 74,199.84 × 30,216
  4. Step 4: Simplify right side
    53,768x = 2,242,022,365.44
  5. Step 5: Solve for x
    x = 2,242,022,365.44/53,768
  6. Step 6: Final answer
    x = 41,698.08

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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.