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Finding the Fourth Proportional to 74,557.94, 111,802.35 and 27,798.26

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Solution

The fourth proportional to 74,557.94, 111,802.35 and 27,798.26 is: 41,684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,557.94 : 111,802.35 = 27,798.26 : x
  2. Step 2: Convert to fraction form
    74,557.94/111,802.35 = 27,798.26/x
  3. Step 3: Cross multiply
    74,557.94x = 111,802.35 × 27,798.26
  4. Step 4: Simplify right side
    74,557.94x = 3,107,910,793.91
  5. Step 5: Solve for x
    x = 3,107,910,793.91/74,557.94
  6. Step 6: Final answer
    x = 41,684.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.