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Finding the Fourth Proportional to 54,655.32, 75,420.54 and 32,295

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Solution

The fourth proportional to 54,655.32, 75,420.54 and 32,295 is: 44,564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,655.32 : 75,420.54 = 32,295 : x
  2. Step 2: Convert to fraction form
    54,655.32/75,420.54 = 32,295/x
  3. Step 3: Cross multiply
    54,655.32x = 75,420.54 × 32,295
  4. Step 4: Simplify right side
    54,655.32x = 2,435,706,339.30
  5. Step 5: Solve for x
    x = 2,435,706,339.30/54,655.32
  6. Step 6: Final answer
    x = 44,564.85

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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.