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Finding the Fourth Proportional to 34,692.54, 52,047.09 and 11,319

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Solution

The fourth proportional to 34,692.54, 52,047.09 and 11,319 is: 16,981.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,692.54 : 52,047.09 = 11,319 : x
  2. Step 2: Convert to fraction form
    34,692.54/52,047.09 = 11,319/x
  3. Step 3: Cross multiply
    34,692.54x = 52,047.09 × 11,319
  4. Step 4: Simplify right side
    34,692.54x = 589,121,011.71
  5. Step 5: Solve for x
    x = 589,121,011.71/34,692.54
  6. Step 6: Final answer
    x = 16,981.20

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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.