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Finding the Fourth Proportional to 109,776.40, 164,664.60 and 30,893.20

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Solution

The fourth proportional to 109,776.40, 164,664.60 and 30,893.20 is: 46,339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,776.40 : 164,664.60 = 30,893.20 : x
  2. Step 2: Convert to fraction form
    109,776.40/164,664.60 = 30,893.20/x
  3. Step 3: Cross multiply
    109,776.40x = 164,664.60 × 30,893.20
  4. Step 4: Simplify right side
    109,776.40x = 5,087,016,420.72
  5. Step 5: Solve for x
    x = 5,087,016,420.72/109,776.40
  6. Step 6: Final answer
    x = 46,339.80

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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.