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Finding the Fourth Proportional to 41,931.76, 57,889.80 and 27,803.80

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Solution

The fourth proportional to 41,931.76, 57,889.80 and 27,803.80 is: 38,385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,931.76 : 57,889.80 = 27,803.80 : x
  2. Step 2: Convert to fraction form
    41,931.76/57,889.80 = 27,803.80/x
  3. Step 3: Cross multiply
    41,931.76x = 57,889.80 × 27,803.80
  4. Step 4: Simplify right side
    41,931.76x = 1,609,556,421.24
  5. Step 5: Solve for x
    x = 1,609,556,421.24/41,931.76
  6. Step 6: Final answer
    x = 38,385.14

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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.