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Finding the Fourth Proportional to 91,564.74, 137,259.63 and 29,194.74

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Solution

The fourth proportional to 91,564.74, 137,259.63 and 29,194.74 is: 43,764.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,564.74 : 137,259.63 = 29,194.74 : x
  2. Step 2: Convert to fraction form
    91,564.74/137,259.63 = 29,194.74/x
  3. Step 3: Cross multiply
    91,564.74x = 137,259.63 × 29,194.74
  4. Step 4: Simplify right side
    91,564.74x = 4,007,259,210.35
  5. Step 5: Solve for x
    x = 4,007,259,210.35/91,564.74
  6. Step 6: Final answer
    x = 43,764.22

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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.