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Finding the Fourth Proportional to 26,755.40, 40,129.91 and 7,035.50

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Solution

The fourth proportional to 26,755.40, 40,129.91 and 7,035.50 is: 10,552.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,755.40 : 40,129.91 = 7,035.50 : x
  2. Step 2: Convert to fraction form
    26,755.40/40,129.91 = 7,035.50/x
  3. Step 3: Cross multiply
    26,755.40x = 40,129.91 × 7,035.50
  4. Step 4: Simplify right side
    26,755.40x = 282,333,801.07
  5. Step 5: Solve for x
    x = 282,333,801.07/26,755.40
  6. Step 6: Final answer
    x = 10,552.40

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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.