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Finding the Fourth Proportional to 109,613.70, 164,420.55 and 30,741.30

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Solution

The fourth proportional to 109,613.70, 164,420.55 and 30,741.30 is: 46,111.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,613.70 : 164,420.55 = 30,741.30 : x
  2. Step 2: Convert to fraction form
    109,613.70/164,420.55 = 30,741.30/x
  3. Step 3: Cross multiply
    109,613.70x = 164,420.55 × 30,741.30
  4. Step 4: Simplify right side
    109,613.70x = 5,054,501,453.72
  5. Step 5: Solve for x
    x = 5,054,501,453.72/109,613.70
  6. Step 6: Final answer
    x = 46,111.95

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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.