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Finding the Fourth Proportional to 91,894.60, 137,858.10 and 32,764.60

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Solution

The fourth proportional to 91,894.60, 137,858.10 and 32,764.60 is: 49,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,894.60 : 137,858.10 = 32,764.60 : x
  2. Step 2: Convert to fraction form
    91,894.60/137,858.10 = 32,764.60/x
  3. Step 3: Cross multiply
    91,894.60x = 137,858.10 × 32,764.60
  4. Step 4: Simplify right side
    91,894.60x = 4,516,865,503.26
  5. Step 5: Solve for x
    x = 4,516,865,503.26/91,894.60
  6. Step 6: Final answer
    x = 49,152.68

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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.