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Finding the Fourth Proportional to 54,875.40, 82,313.10 and 13,322.40

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Solution

The fourth proportional to 54,875.40, 82,313.10 and 13,322.40 is: 19,983.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,875.40 : 82,313.10 = 13,322.40 : x
  2. Step 2: Convert to fraction form
    54,875.40/82,313.10 = 13,322.40/x
  3. Step 3: Cross multiply
    54,875.40x = 82,313.10 × 13,322.40
  4. Step 4: Simplify right side
    54,875.40x = 1,096,608,043.44
  5. Step 5: Solve for x
    x = 1,096,608,043.44/54,875.40
  6. Step 6: Final answer
    x = 19,983.60

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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.