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Finding the Fourth Proportional to 34,009.75, 51,017.57 and 9,385.75

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Solution

The fourth proportional to 34,009.75, 51,017.57 and 9,385.75 is: 14,079.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,009.75 : 51,017.57 = 9,385.75 : x
  2. Step 2: Convert to fraction form
    34,009.75/51,017.57 = 9,385.75/x
  3. Step 3: Cross multiply
    34,009.75x = 51,017.57 × 9,385.75
  4. Step 4: Simplify right side
    34,009.75x = 478,838,157.63
  5. Step 5: Solve for x
    x = 478,838,157.63/34,009.75
  6. Step 6: Final answer
    x = 14,079.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.