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Finding the Fourth Proportional to 75,999.60, 114,005.88 and 19,847.16

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Solution

The fourth proportional to 75,999.60, 114,005.88 and 19,847.16 is: 29,772.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,999.60 : 114,005.88 = 19,847.16 : x
  2. Step 2: Convert to fraction form
    75,999.60/114,005.88 = 19,847.16/x
  3. Step 3: Cross multiply
    75,999.60x = 114,005.88 × 19,847.16
  4. Step 4: Simplify right side
    75,999.60x = 2,262,692,941.30
  5. Step 5: Solve for x
    x = 2,262,692,941.30/75,999.60
  6. Step 6: Final answer
    x = 29,772.43

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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.