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Finding the Fourth Proportional to 102,418.46, 153,627.69 and 32,303.24

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Solution

The fourth proportional to 102,418.46, 153,627.69 and 32,303.24 is: 48,454.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,418.46 : 153,627.69 = 32,303.24 : x
  2. Step 2: Convert to fraction form
    102,418.46/153,627.69 = 32,303.24/x
  3. Step 3: Cross multiply
    102,418.46x = 153,627.69 × 32,303.24
  4. Step 4: Simplify right side
    102,418.46x = 4,962,672,069.82
  5. Step 5: Solve for x
    x = 4,962,672,069.82/102,418.46
  6. Step 6: Final answer
    x = 48,454.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.