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Finding the Fourth Proportional to 57,564.48, 79,440 and 32,414.40

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Solution

The fourth proportional to 57,564.48, 79,440 and 32,414.40 is: 44,732.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,564.48 : 79,440 = 32,414.40 : x
  2. Step 2: Convert to fraction form
    57,564.48/79,440 = 32,414.40/x
  3. Step 3: Cross multiply
    57,564.48x = 79,440 × 32,414.40
  4. Step 4: Simplify right side
    57,564.48x = 2,574,999,936
  5. Step 5: Solve for x
    x = 2,574,999,936/57,564.48
  6. Step 6: Final answer
    x = 44,732.45

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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.