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Finding the Fourth Proportional to 34,332.50, 51,499.06 and 13,556

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Solution

The fourth proportional to 34,332.50, 51,499.06 and 13,556 is: 20,334.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,332.50 : 51,499.06 = 13,556 : x
  2. Step 2: Convert to fraction form
    34,332.50/51,499.06 = 13,556/x
  3. Step 3: Cross multiply
    34,332.50x = 51,499.06 × 13,556
  4. Step 4: Simplify right side
    34,332.50x = 698,121,257.36
  5. Step 5: Solve for x
    x = 698,121,257.36/34,332.50
  6. Step 6: Final answer
    x = 20,334.12

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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.