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Finding the Fourth Proportional to 54,856.86, 82,285.29 and 13,303.50

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Solution

The fourth proportional to 54,856.86, 82,285.29 and 13,303.50 is: 19,955.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,856.86 : 82,285.29 = 13,303.50 : x
  2. Step 2: Convert to fraction form
    54,856.86/82,285.29 = 13,303.50/x
  3. Step 3: Cross multiply
    54,856.86x = 82,285.29 × 13,303.50
  4. Step 4: Simplify right side
    54,856.86x = 1,094,682,355.52
  5. Step 5: Solve for x
    x = 1,094,682,355.52/54,856.86
  6. Step 6: Final answer
    x = 19,955.25

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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.