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Finding the Fourth Proportional to 55,022.96, 75,907.32 and 32,654

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Solution

The fourth proportional to 55,022.96, 75,907.32 and 32,654 is: 45,048.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,022.96 : 75,907.32 = 32,654 : x
  2. Step 2: Convert to fraction form
    55,022.96/75,907.32 = 32,654/x
  3. Step 3: Cross multiply
    55,022.96x = 75,907.32 × 32,654
  4. Step 4: Simplify right side
    55,022.96x = 2,478,677,627.28
  5. Step 5: Solve for x
    x = 2,478,677,627.28/55,022.96
  6. Step 6: Final answer
    x = 45,048.06

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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.