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Finding the Fourth Proportional to 53,690.76, 74,130.32 and 33,556.68

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Solution

The fourth proportional to 53,690.76, 74,130.32 and 33,556.68 is: 46,331.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,690.76 : 74,130.32 = 33,556.68 : x
  2. Step 2: Convert to fraction form
    53,690.76/74,130.32 = 33,556.68/x
  3. Step 3: Cross multiply
    53,690.76x = 74,130.32 × 33,556.68
  4. Step 4: Simplify right side
    53,690.76x = 2,487,567,426.54
  5. Step 5: Solve for x
    x = 2,487,567,426.54/53,690.76
  6. Step 6: Final answer
    x = 46,331.39

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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.