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Finding the Fourth Proportional to 102,317.20, 153,492.60 and 32,179.60

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Solution

The fourth proportional to 102,317.20, 153,492.60 and 32,179.60 is: 48,274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,317.20 : 153,492.60 = 32,179.60 : x
  2. Step 2: Convert to fraction form
    102,317.20/153,492.60 = 32,179.60/x
  3. Step 3: Cross multiply
    102,317.20x = 153,492.60 × 32,179.60
  4. Step 4: Simplify right side
    102,317.20x = 4,939,330,470.96
  5. Step 5: Solve for x
    x = 4,939,330,470.96/102,317.20
  6. Step 6: Final answer
    x = 48,274.68

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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.