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Finding the Fourth Proportional to 109,675.68, 164,519.36 and 34,801.68

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Solution

The fourth proportional to 109,675.68, 164,519.36 and 34,801.68 is: 52,204.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,675.68 : 164,519.36 = 34,801.68 : x
  2. Step 2: Convert to fraction form
    109,675.68/164,519.36 = 34,801.68/x
  3. Step 3: Cross multiply
    109,675.68x = 164,519.36 × 34,801.68
  4. Step 4: Simplify right side
    109,675.68x = 5,725,549,946.52
  5. Step 5: Solve for x
    x = 5,725,549,946.52/109,675.68
  6. Step 6: Final answer
    x = 52,204.37

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1.5x scale

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.