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Finding the Fourth Proportional to 102,450.64, 153,703.32 and 32,331.28

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Solution

The fourth proportional to 102,450.64, 153,703.32 and 32,331.28 is: 48,505.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,450.64 : 153,703.32 = 32,331.28 : x
  2. Step 2: Convert to fraction form
    102,450.64/153,703.32 = 32,331.28/x
  3. Step 3: Cross multiply
    102,450.64x = 153,703.32 × 32,331.28
  4. Step 4: Simplify right side
    102,450.64x = 4,969,425,075.85
  5. Step 5: Solve for x
    x = 4,969,425,075.85/102,450.64
  6. Step 6: Final answer
    x = 48,505.55

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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.