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Finding the Fourth Proportional to 53,474.88, 80,124.64 and 37,864.48

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Solution

The fourth proportional to 53,474.88, 80,124.64 and 37,864.48 is: 56,734.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,474.88 : 80,124.64 = 37,864.48 : x
  2. Step 2: Convert to fraction form
    53,474.88/80,124.64 = 37,864.48/x
  3. Step 3: Cross multiply
    53,474.88x = 80,124.64 × 37,864.48
  4. Step 4: Simplify right side
    53,474.88x = 3,033,877,828.79
  5. Step 5: Solve for x
    x = 3,033,877,828.79/53,474.88
  6. Step 6: Final answer
    x = 56,734.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.