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Finding the Fourth Proportional to 49,160.25, 67,834.16 and 27,647.01

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Solution

The fourth proportional to 49,160.25, 67,834.16 and 27,647.01 is: 38,148.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,160.25 : 67,834.16 = 27,647.01 : x
  2. Step 2: Convert to fraction form
    49,160.25/67,834.16 = 27,647.01/x
  3. Step 3: Cross multiply
    49,160.25x = 67,834.16 × 27,647.01
  4. Step 4: Simplify right side
    49,160.25x = 1,875,411,561.63
  5. Step 5: Solve for x
    x = 1,875,411,561.63/49,160.25
  6. Step 6: Final answer
    x = 38,148.94

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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.