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Finding the Fourth Proportional to 34,100.15, 51,149.36 and 9,140.16

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Solution

The fourth proportional to 34,100.15, 51,149.36 and 9,140.16 is: 13,710.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,100.15 : 51,149.36 = 9,140.16 : x
  2. Step 2: Convert to fraction form
    34,100.15/51,149.36 = 9,140.16/x
  3. Step 3: Cross multiply
    34,100.15x = 51,149.36 × 9,140.16
  4. Step 4: Simplify right side
    34,100.15x = 467,513,288.60
  5. Step 5: Solve for x
    x = 467,513,288.60/34,100.15
  6. Step 6: Final answer
    x = 13,710.01

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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.