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Finding the Fourth Proportional to 55,424.16, 83,164.04 and 25,844.32

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Solution

The fourth proportional to 55,424.16, 83,164.04 and 25,844.32 is: 38,779.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,424.16 : 83,164.04 = 25,844.32 : x
  2. Step 2: Convert to fraction form
    55,424.16/83,164.04 = 25,844.32/x
  3. Step 3: Cross multiply
    55,424.16x = 83,164.04 × 25,844.32
  4. Step 4: Simplify right side
    55,424.16x = 2,149,318,062.25
  5. Step 5: Solve for x
    x = 2,149,318,062.25/55,424.16
  6. Step 6: Final answer
    x = 38,779.44

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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.