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Finding the Fourth Proportional to 54,746.94, 82,274.31 and 32,564.34

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Solution

The fourth proportional to 54,746.94, 82,274.31 and 32,564.34 is: 48,938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,746.94 : 82,274.31 = 32,564.34 : x
  2. Step 2: Convert to fraction form
    54,746.94/82,274.31 = 32,564.34/x
  3. Step 3: Cross multiply
    54,746.94x = 82,274.31 × 32,564.34
  4. Step 4: Simplify right side
    54,746.94x = 2,679,208,604.11
  5. Step 5: Solve for x
    x = 2,679,208,604.11/54,746.94
  6. Step 6: Final answer
    x = 48,938.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.