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Finding the Fourth Proportional to 38,095.87, 52,567.81 and 21,963

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Solution

The fourth proportional to 38,095.87, 52,567.81 and 21,963 is: 30,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,095.87 : 52,567.81 = 21,963 : x
  2. Step 2: Convert to fraction form
    38,095.87/52,567.81 = 21,963/x
  3. Step 3: Cross multiply
    38,095.87x = 52,567.81 × 21,963
  4. Step 4: Simplify right side
    38,095.87x = 1,154,546,811.03
  5. Step 5: Solve for x
    x = 1,154,546,811.03/38,095.87
  6. Step 6: Final answer
    x = 30,306.35

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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.