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Finding the Fourth Proportional to 65,465.51, 98,204.60 and 26,013.78

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Solution

The fourth proportional to 65,465.51, 98,204.60 and 26,013.78 is: 39,023.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,465.51 : 98,204.60 = 26,013.78 : x
  2. Step 2: Convert to fraction form
    65,465.51/98,204.60 = 26,013.78/x
  3. Step 3: Cross multiply
    65,465.51x = 98,204.60 × 26,013.78
  4. Step 4: Simplify right side
    65,465.51x = 2,554,672,729.32
  5. Step 5: Solve for x
    x = 2,554,672,729.32/65,465.51
  6. Step 6: Final answer
    x = 39,023.19

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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.