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Finding the Fourth Proportional to 109,915.28, 164,894.80 and 35,033

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Solution

The fourth proportional to 109,915.28, 164,894.80 and 35,033 is: 52,556.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,915.28 : 164,894.80 = 35,033 : x
  2. Step 2: Convert to fraction form
    109,915.28/164,894.80 = 35,033/x
  3. Step 3: Cross multiply
    109,915.28x = 164,894.80 × 35,033
  4. Step 4: Simplify right side
    109,915.28x = 5,776,759,528.40
  5. Step 5: Solve for x
    x = 5,776,759,528.40/109,915.28
  6. Step 6: Final answer
    x = 52,556.47

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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.