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Finding the Fourth Proportional to 77,380.60, 116,114.10 and 32,999.80

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Solution

The fourth proportional to 77,380.60, 116,114.10 and 32,999.80 is: 49,518.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,380.60 : 116,114.10 = 32,999.80 : x
  2. Step 2: Convert to fraction form
    77,380.60/116,114.10 = 32,999.80/x
  3. Step 3: Cross multiply
    77,380.60x = 116,114.10 × 32,999.80
  4. Step 4: Simplify right side
    77,380.60x = 3,831,742,077.18
  5. Step 5: Solve for x
    x = 3,831,742,077.18/77,380.60
  6. Step 6: Final answer
    x = 49,518.12

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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.