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Finding the Fourth Proportional to 57,114.21, 85,661.96 and 15,564.45

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Solution

The fourth proportional to 57,114.21, 85,661.96 and 15,564.45 is: 23,344.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,114.21 : 85,661.96 = 15,564.45 : x
  2. Step 2: Convert to fraction form
    57,114.21/85,661.96 = 15,564.45/x
  3. Step 3: Cross multiply
    57,114.21x = 85,661.96 × 15,564.45
  4. Step 4: Simplify right side
    57,114.21x = 1,333,281,215.50
  5. Step 5: Solve for x
    x = 1,333,281,215.50/57,114.21
  6. Step 6: Final answer
    x = 23,344.12

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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.