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Finding the Fourth Proportional to 96,698.51, 145,047.56 and 54,559.46

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Solution

The fourth proportional to 96,698.51, 145,047.56 and 54,559.46 is: 81,839.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,698.51 : 145,047.56 = 54,559.46 : x
  2. Step 2: Convert to fraction form
    96,698.51/145,047.56 = 54,559.46/x
  3. Step 3: Cross multiply
    96,698.51x = 145,047.56 × 54,559.46
  4. Step 4: Simplify right side
    96,698.51x = 7,913,717,046.94
  5. Step 5: Solve for x
    x = 7,913,717,046.94/96,698.51
  6. Step 6: Final answer
    x = 81,839.08

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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.