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Finding the Fourth Proportional to 53,709.41, 80,525.80 and 25,230.47

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Solution

The fourth proportional to 53,709.41, 80,525.80 and 25,230.47 is: 37,827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,709.41 : 80,525.80 = 25,230.47 : x
  2. Step 2: Convert to fraction form
    53,709.41/80,525.80 = 25,230.47/x
  3. Step 3: Cross multiply
    53,709.41x = 80,525.80 × 25,230.47
  4. Step 4: Simplify right side
    53,709.41x = 2,031,703,721.07
  5. Step 5: Solve for x
    x = 2,031,703,721.07/53,709.41
  6. Step 6: Final answer
    x = 37,827.70

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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.