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Finding the Fourth Proportional to 109,871.60, 164,807.40 and 35,999.60

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Solution

The fourth proportional to 109,871.60, 164,807.40 and 35,999.60 is: 53,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,871.60 : 164,807.40 = 35,999.60 : x
  2. Step 2: Convert to fraction form
    109,871.60/164,807.40 = 35,999.60/x
  3. Step 3: Cross multiply
    109,871.60x = 164,807.40 × 35,999.60
  4. Step 4: Simplify right side
    109,871.60x = 5,933,000,477.04
  5. Step 5: Solve for x
    x = 5,933,000,477.04/109,871.60
  6. Step 6: Final answer
    x = 53,999.40

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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.