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Finding the Fourth Proportional to 52,813.64, 72,882.81 and 28,941.23

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Solution

The fourth proportional to 52,813.64, 72,882.81 and 28,941.23 is: 39,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,813.64 : 72,882.81 = 28,941.23 : x
  2. Step 2: Convert to fraction form
    52,813.64/72,882.81 = 28,941.23/x
  3. Step 3: Cross multiply
    52,813.64x = 72,882.81 × 28,941.23
  4. Step 4: Simplify right side
    52,813.64x = 2,109,318,167.26
  5. Step 5: Solve for x
    x = 2,109,318,167.26/52,813.64
  6. Step 6: Final answer
    x = 39,938.89

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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.