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Finding the Fourth Proportional to 83,681.69, 125,484.26 and 49,963.01

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Solution

The fourth proportional to 83,681.69, 125,484.26 and 49,963.01 is: 74,921.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,681.69 : 125,484.26 = 49,963.01 : x
  2. Step 2: Convert to fraction form
    83,681.69/125,484.26 = 49,963.01/x
  3. Step 3: Cross multiply
    83,681.69x = 125,484.26 × 49,963.01
  4. Step 4: Simplify right side
    83,681.69x = 6,269,570,459.99
  5. Step 5: Solve for x
    x = 6,269,570,459.99/83,681.69
  6. Step 6: Final answer
    x = 74,921.66

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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.