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Finding the Fourth Proportional to 39,746.26, 54,902.94 and 27,848.98

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Solution

The fourth proportional to 39,746.26, 54,902.94 and 27,848.98 is: 38,468.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,746.26 : 54,902.94 = 27,848.98 : x
  2. Step 2: Convert to fraction form
    39,746.26/54,902.94 = 27,848.98/x
  3. Step 3: Cross multiply
    39,746.26x = 54,902.94 × 27,848.98
  4. Step 4: Simplify right side
    39,746.26x = 1,528,990,878.00
  5. Step 5: Solve for x
    x = 1,528,990,878.00/39,746.26
  6. Step 6: Final answer
    x = 38,468.80

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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.