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Finding the Fourth Proportional to 51,019.13, 76,533.03 and 14,083.13

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Solution

The fourth proportional to 51,019.13, 76,533.03 and 14,083.13 is: 21,125.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,019.13 : 76,533.03 = 14,083.13 : x
  2. Step 2: Convert to fraction form
    51,019.13/76,533.03 = 14,083.13/x
  3. Step 3: Cross multiply
    51,019.13x = 76,533.03 × 14,083.13
  4. Step 4: Simplify right side
    51,019.13x = 1,077,824,228.12
  5. Step 5: Solve for x
    x = 1,077,824,228.12/51,019.13
  6. Step 6: Final answer
    x = 21,125.89

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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.