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Finding the Fourth Proportional to 54,359.64, 75,017.15 and 32,846.40

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Solution

The fourth proportional to 54,359.64, 75,017.15 and 32,846.40 is: 45,328.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,359.64 : 75,017.15 = 32,846.40 : x
  2. Step 2: Convert to fraction form
    54,359.64/75,017.15 = 32,846.40/x
  3. Step 3: Cross multiply
    54,359.64x = 75,017.15 × 32,846.40
  4. Step 4: Simplify right side
    54,359.64x = 2,464,043,315.76
  5. Step 5: Solve for x
    x = 2,464,043,315.76/54,359.64
  6. Step 6: Final answer
    x = 45,328.54

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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.