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Finding the Fourth Proportional to 65,023.25, 97,538.24 and 20,653.47

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Solution

The fourth proportional to 65,023.25, 97,538.24 and 20,653.47 is: 30,981.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,023.25 : 97,538.24 = 20,653.47 : x
  2. Step 2: Convert to fraction form
    65,023.25/97,538.24 = 20,653.47/x
  3. Step 3: Cross multiply
    65,023.25x = 97,538.24 × 20,653.47
  4. Step 4: Simplify right side
    65,023.25x = 2,014,503,165.33
  5. Step 5: Solve for x
    x = 2,014,503,165.33/65,023.25
  6. Step 6: Final answer
    x = 30,981.28

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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.