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Finding the Fourth Proportional to 51,636.66, 77,423.76 and 23,168.40

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Solution

The fourth proportional to 51,636.66, 77,423.76 and 23,168.40 is: 34,738.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,636.66 : 77,423.76 = 23,168.40 : x
  2. Step 2: Convert to fraction form
    51,636.66/77,423.76 = 23,168.40/x
  3. Step 3: Cross multiply
    51,636.66x = 77,423.76 × 23,168.40
  4. Step 4: Simplify right side
    51,636.66x = 1,793,784,641.18
  5. Step 5: Solve for x
    x = 1,793,784,641.18/51,636.66
  6. Step 6: Final answer
    x = 34,738.59

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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.