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Finding the Fourth Proportional to 40,159.71, 55,423.77 and 22,256.38

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Solution

The fourth proportional to 40,159.71, 55,423.77 and 22,256.38 is: 30,715.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,159.71 : 55,423.77 = 22,256.38 : x
  2. Step 2: Convert to fraction form
    40,159.71/55,423.77 = 22,256.38/x
  3. Step 3: Cross multiply
    40,159.71x = 55,423.77 × 22,256.38
  4. Step 4: Simplify right side
    40,159.71x = 1,233,532,486.15
  5. Step 5: Solve for x
    x = 1,233,532,486.15/40,159.71
  6. Step 6: Final answer
    x = 30,715.67

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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.