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Finding the Fourth Proportional to 39,197.50, 58,806.02 and 11,495.50

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Solution

The fourth proportional to 39,197.50, 58,806.02 and 11,495.50 is: 17,246.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,197.50 : 58,806.02 = 11,495.50 : x
  2. Step 2: Convert to fraction form
    39,197.50/58,806.02 = 11,495.50/x
  3. Step 3: Cross multiply
    39,197.50x = 58,806.02 × 11,495.50
  4. Step 4: Simplify right side
    39,197.50x = 676,004,602.91
  5. Step 5: Solve for x
    x = 676,004,602.91/39,197.50
  6. Step 6: Final answer
    x = 17,246.12

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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.