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Finding the Fourth Proportional to 84,637.54, 116,807.37 and 54,494.88

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Solution

The fourth proportional to 84,637.54, 116,807.37 and 54,494.88 is: 75,207.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,637.54 : 116,807.37 = 54,494.88 : x
  2. Step 2: Convert to fraction form
    84,637.54/116,807.37 = 54,494.88/x
  3. Step 3: Cross multiply
    84,637.54x = 116,807.37 × 54,494.88
  4. Step 4: Simplify right side
    84,637.54x = 6,365,402,968.88
  5. Step 5: Solve for x
    x = 6,365,402,968.88/84,637.54
  6. Step 6: Final answer
    x = 75,207.80

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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.