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Finding the Fourth Proportional to 83,698.47, 125,547.02 and 33,777.80

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Solution

The fourth proportional to 83,698.47, 125,547.02 and 33,777.80 is: 50,666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,698.47 : 125,547.02 = 33,777.80 : x
  2. Step 2: Convert to fraction form
    83,698.47/125,547.02 = 33,777.80/x
  3. Step 3: Cross multiply
    83,698.47x = 125,547.02 × 33,777.80
  4. Step 4: Simplify right side
    83,698.47x = 4,240,701,963.27
  5. Step 5: Solve for x
    x = 4,240,701,963.27/83,698.47
  6. Step 6: Final answer
    x = 50,666.42

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