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Finding the Fourth Proportional to 85,294.29, 127,969.74 and 26,130.54

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Solution

The fourth proportional to 85,294.29, 127,969.74 and 26,130.54 is: 39,204.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,294.29 : 127,969.74 = 26,130.54 : x
  2. Step 2: Convert to fraction form
    85,294.29/127,969.74 = 26,130.54/x
  3. Step 3: Cross multiply
    85,294.29x = 127,969.74 × 26,130.54
  4. Step 4: Simplify right side
    85,294.29x = 3,343,918,409.86
  5. Step 5: Solve for x
    x = 3,343,918,409.86/85,294.29
  6. Step 6: Final answer
    x = 39,204.48

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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.