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Finding the Fourth Proportional to 49,047.54, 67,681.71 and 27,830.22

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Solution

The fourth proportional to 49,047.54, 67,681.71 and 27,830.22 is: 38,403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,047.54 : 67,681.71 = 27,830.22 : x
  2. Step 2: Convert to fraction form
    49,047.54/67,681.71 = 27,830.22/x
  3. Step 3: Cross multiply
    49,047.54x = 67,681.71 × 27,830.22
  4. Step 4: Simplify right side
    49,047.54x = 1,883,596,879.28
  5. Step 5: Solve for x
    x = 1,883,596,879.28/49,047.54
  6. Step 6: Final answer
    x = 38,403.49

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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.