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Finding the Fourth Proportional to 53,977.86, 74,490.63 and 32,754.78

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Solution

The fourth proportional to 53,977.86, 74,490.63 and 32,754.78 is: 45,202.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,977.86 : 74,490.63 = 32,754.78 : x
  2. Step 2: Convert to fraction form
    53,977.86/74,490.63 = 32,754.78/x
  3. Step 3: Cross multiply
    53,977.86x = 74,490.63 × 32,754.78
  4. Step 4: Simplify right side
    53,977.86x = 2,439,924,197.71
  5. Step 5: Solve for x
    x = 2,439,924,197.71/53,977.86
  6. Step 6: Final answer
    x = 45,202.31

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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.