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Finding the Fourth Proportional to 57,055.40, 85,588.02 and 14,935.30

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Solution

The fourth proportional to 57,055.40, 85,588.02 and 14,935.30 is: 22,404.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,055.40 : 85,588.02 = 14,935.30 : x
  2. Step 2: Convert to fraction form
    57,055.40/85,588.02 = 14,935.30/x
  3. Step 3: Cross multiply
    57,055.40x = 85,588.02 × 14,935.30
  4. Step 4: Simplify right side
    57,055.40x = 1,278,282,755.11
  5. Step 5: Solve for x
    x = 1,278,282,755.11/57,055.40
  6. Step 6: Final answer
    x = 22,404.24

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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.