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Finding the Fourth Proportional to 51,244.38, 70,715.76 and 28,584

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Solution

The fourth proportional to 51,244.38, 70,715.76 and 28,584 is: 39,445.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,244.38 : 70,715.76 = 28,584 : x
  2. Step 2: Convert to fraction form
    51,244.38/70,715.76 = 28,584/x
  3. Step 3: Cross multiply
    51,244.38x = 70,715.76 × 28,584
  4. Step 4: Simplify right side
    51,244.38x = 2,021,339,283.84
  5. Step 5: Solve for x
    x = 2,021,339,283.84/51,244.38
  6. Step 6: Final answer
    x = 39,445.09

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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.