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Finding the Fourth Proportional to 102,622.10, 153,932.09 and 32,501.41

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Solution

The fourth proportional to 102,622.10, 153,932.09 and 32,501.41 is: 48,751.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,622.10 : 153,932.09 = 32,501.41 : x
  2. Step 2: Convert to fraction form
    102,622.10/153,932.09 = 32,501.41/x
  3. Step 3: Cross multiply
    102,622.10x = 153,932.09 × 32,501.41
  4. Step 4: Simplify right side
    102,622.10x = 5,003,009,037.08
  5. Step 5: Solve for x
    x = 5,003,009,037.08/102,622.10
  6. Step 6: Final answer
    x = 48,751.77

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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.