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Finding the Fourth Proportional to 49,999.94, 74,999.80 and 20,027.64

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Solution

The fourth proportional to 49,999.94, 74,999.80 and 20,027.64 is: 30,041.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,999.94 : 74,999.80 = 20,027.64 : x
  2. Step 2: Convert to fraction form
    49,999.94/74,999.80 = 20,027.64/x
  3. Step 3: Cross multiply
    49,999.94x = 74,999.80 × 20,027.64
  4. Step 4: Simplify right side
    49,999.94x = 1,502,068,994.47
  5. Step 5: Solve for x
    x = 1,502,068,994.47/49,999.94
  6. Step 6: Final answer
    x = 30,041.42

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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.