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Finding the Fourth Proportional to 52,228.26, 78,342.24 and 18,948.24

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Solution

The fourth proportional to 52,228.26, 78,342.24 and 18,948.24 is: 28,422.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,228.26 : 78,342.24 = 18,948.24 : x
  2. Step 2: Convert to fraction form
    52,228.26/78,342.24 = 18,948.24/x
  3. Step 3: Cross multiply
    52,228.26x = 78,342.24 × 18,948.24
  4. Step 4: Simplify right side
    52,228.26x = 1,484,447,565.66
  5. Step 5: Solve for x
    x = 1,484,447,565.66/52,228.26
  6. Step 6: Final answer
    x = 28,422.31

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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.