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Finding the Fourth Proportional to 91,790.92, 137,677.74 and 35,657.80

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Solution

The fourth proportional to 91,790.92, 137,677.74 and 35,657.80 is: 53,483.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,790.92 : 137,677.74 = 35,657.80 : x
  2. Step 2: Convert to fraction form
    91,790.92/137,677.74 = 35,657.80/x
  3. Step 3: Cross multiply
    91,790.92x = 137,677.74 × 35,657.80
  4. Step 4: Simplify right side
    91,790.92x = 4,909,285,317.37
  5. Step 5: Solve for x
    x = 4,909,285,317.37/91,790.92
  6. Step 6: Final answer
    x = 53,483.34

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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.