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Finding the Fourth Proportional to 38,055.70, 52,509 and 26,114.68

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Solution

The fourth proportional to 38,055.70, 52,509 and 26,114.68 is: 36,032.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,055.70 : 52,509 = 26,114.68 : x
  2. Step 2: Convert to fraction form
    38,055.70/52,509 = 26,114.68/x
  3. Step 3: Cross multiply
    38,055.70x = 52,509 × 26,114.68
  4. Step 4: Simplify right side
    38,055.70x = 1,371,255,732.12
  5. Step 5: Solve for x
    x = 1,371,255,732.12/38,055.70
  6. Step 6: Final answer
    x = 36,032.86

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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.