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Finding the Fourth Proportional to 92,137.50, 138,225.69 and 36,733.50

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Solution

The fourth proportional to 92,137.50, 138,225.69 and 36,733.50 is: 55,108.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,137.50 : 138,225.69 = 36,733.50 : x
  2. Step 2: Convert to fraction form
    92,137.50/138,225.69 = 36,733.50/x
  3. Step 3: Cross multiply
    92,137.50x = 138,225.69 × 36,733.50
  4. Step 4: Simplify right side
    92,137.50x = 5,077,513,383.62
  5. Step 5: Solve for x
    x = 5,077,513,383.62/92,137.50
  6. Step 6: Final answer
    x = 55,108.00

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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.