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Finding the Fourth Proportional to 34,328.50, 51,493.07 and 13,552

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Solution

The fourth proportional to 34,328.50, 51,493.07 and 13,552 is: 20,328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,328.50 : 51,493.07 = 13,552 : x
  2. Step 2: Convert to fraction form
    34,328.50/51,493.07 = 13,552/x
  3. Step 3: Cross multiply
    34,328.50x = 51,493.07 × 13,552
  4. Step 4: Simplify right side
    34,328.50x = 697,834,084.64
  5. Step 5: Solve for x
    x = 697,834,084.64/34,328.50
  6. Step 6: Final answer
    x = 20,328.13

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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.