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Finding the Fourth Proportional to 109,764.30, 164,646.45 and 26,658.30

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Solution

The fourth proportional to 109,764.30, 164,646.45 and 26,658.30 is: 39,987.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,764.30 : 164,646.45 = 26,658.30 : x
  2. Step 2: Convert to fraction form
    109,764.30/164,646.45 = 26,658.30/x
  3. Step 3: Cross multiply
    109,764.30x = 164,646.45 × 26,658.30
  4. Step 4: Simplify right side
    109,764.30x = 4,389,194,458.04
  5. Step 5: Solve for x
    x = 4,389,194,458.04/109,764.30
  6. Step 6: Final answer
    x = 39,987.45

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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.