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Finding the Fourth Proportional to 54,856.57, 82,284.86 and 13,303.57

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Solution

The fourth proportional to 54,856.57, 82,284.86 and 13,303.57 is: 19,955.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,856.57 : 82,284.86 = 13,303.57 : x
  2. Step 2: Convert to fraction form
    54,856.57/82,284.86 = 13,303.57/x
  3. Step 3: Cross multiply
    54,856.57x = 82,284.86 × 13,303.57
  4. Step 4: Simplify right side
    54,856.57x = 1,094,682,394.95
  5. Step 5: Solve for x
    x = 1,094,682,394.95/54,856.57
  6. Step 6: Final answer
    x = 19,955.36

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1.5x scale

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.