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Finding the Fourth Proportional to 109,364.50, 164,046.75 and 35,492.50

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Solution

The fourth proportional to 109,364.50, 164,046.75 and 35,492.50 is: 53,238.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,364.50 : 164,046.75 = 35,492.50 : x
  2. Step 2: Convert to fraction form
    109,364.50/164,046.75 = 35,492.50/x
  3. Step 3: Cross multiply
    109,364.50x = 164,046.75 × 35,492.50
  4. Step 4: Simplify right side
    109,364.50x = 5,822,429,274.38
  5. Step 5: Solve for x
    x = 5,822,429,274.38/109,364.50
  6. Step 6: Final answer
    x = 53,238.75

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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.