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Finding the Fourth Proportional to 102,224, 153,337.38 and 32,103.32

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Solution

The fourth proportional to 102,224, 153,337.38 and 32,103.32 is: 48,155.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,224 : 153,337.38 = 32,103.32 : x
  2. Step 2: Convert to fraction form
    102,224/153,337.38 = 32,103.32/x
  3. Step 3: Cross multiply
    102,224x = 153,337.38 × 32,103.32
  4. Step 4: Simplify right side
    102,224x = 4,922,638,978.10
  5. Step 5: Solve for x
    x = 4,922,638,978.10/102,224
  6. Step 6: Final answer
    x = 48,155.41

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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.