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Finding the Fourth Proportional to 34,009.50, 51,017.19 and 9,385.50

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Solution

The fourth proportional to 34,009.50, 51,017.19 and 9,385.50 is: 14,079.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,009.50 : 51,017.19 = 9,385.50 : x
  2. Step 2: Convert to fraction form
    34,009.50/51,017.19 = 9,385.50/x
  3. Step 3: Cross multiply
    34,009.50x = 51,017.19 × 9,385.50
  4. Step 4: Simplify right side
    34,009.50x = 478,821,836.75
  5. Step 5: Solve for x
    x = 478,821,836.75/34,009.50
  6. Step 6: Final answer
    x = 14,079.06

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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.