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Finding the Fourth Proportional to 33,037.31, 45,528.54 and 32,430

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Solution

The fourth proportional to 33,037.31, 45,528.54 and 32,430 is: 44,691.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,037.31 : 45,528.54 = 32,430 : x
  2. Step 2: Convert to fraction form
    33,037.31/45,528.54 = 32,430/x
  3. Step 3: Cross multiply
    33,037.31x = 45,528.54 × 32,430
  4. Step 4: Simplify right side
    33,037.31x = 1,476,490,552.20
  5. Step 5: Solve for x
    x = 1,476,490,552.20/33,037.31
  6. Step 6: Final answer
    x = 44,691.62

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