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Finding the Fourth Proportional to 59,758.24, 89,650.88 and 18,202

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Solution

The fourth proportional to 59,758.24, 89,650.88 and 18,202 is: 27,307.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,758.24 : 89,650.88 = 18,202 : x
  2. Step 2: Convert to fraction form
    59,758.24/89,650.88 = 18,202/x
  3. Step 3: Cross multiply
    59,758.24x = 89,650.88 × 18,202
  4. Step 4: Simplify right side
    59,758.24x = 1,631,825,317.76
  5. Step 5: Solve for x
    x = 1,631,825,317.76/59,758.24
  6. Step 6: Final answer
    x = 27,307.12

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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.