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Finding the Fourth Proportional to 54,699.64, 75,490.82 and 32,037.16

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Solution

The fourth proportional to 54,699.64, 75,490.82 and 32,037.16 is: 44,214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,699.64 : 75,490.82 = 32,037.16 : x
  2. Step 2: Convert to fraction form
    54,699.64/75,490.82 = 32,037.16/x
  3. Step 3: Cross multiply
    54,699.64x = 75,490.82 × 32,037.16
  4. Step 4: Simplify right side
    54,699.64x = 2,418,511,478.87
  5. Step 5: Solve for x
    x = 2,418,511,478.87/54,699.64
  6. Step 6: Final answer
    x = 44,214.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.