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Finding the Fourth Proportional to 38,284.50, 52,830.18 and 22,368

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Solution

The fourth proportional to 38,284.50, 52,830.18 and 22,368 is: 30,866.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,284.50 : 52,830.18 = 22,368 : x
  2. Step 2: Convert to fraction form
    38,284.50/52,830.18 = 22,368/x
  3. Step 3: Cross multiply
    38,284.50x = 52,830.18 × 22,368
  4. Step 4: Simplify right side
    38,284.50x = 1,181,705,466.24
  5. Step 5: Solve for x
    x = 1,181,705,466.24/38,284.50
  6. Step 6: Final answer
    x = 30,866.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.