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Finding the Fourth Proportional to 51,594.17, 77,367.11 and 18,313.50

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Solution

The fourth proportional to 51,594.17, 77,367.11 and 18,313.50 is: 27,461.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,594.17 : 77,367.11 = 18,313.50 : x
  2. Step 2: Convert to fraction form
    51,594.17/77,367.11 = 18,313.50/x
  3. Step 3: Cross multiply
    51,594.17x = 77,367.11 × 18,313.50
  4. Step 4: Simplify right side
    51,594.17x = 1,416,862,477.42
  5. Step 5: Solve for x
    x = 1,416,862,477.42/51,594.17
  6. Step 6: Final answer
    x = 27,461.68

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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.