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Finding the Fourth Proportional to 65,004, 97,509.48 and 20,634.24

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Solution

The fourth proportional to 65,004, 97,509.48 and 20,634.24 is: 30,952.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,004 : 97,509.48 = 20,634.24 : x
  2. Step 2: Convert to fraction form
    65,004/97,509.48 = 20,634.24/x
  3. Step 3: Cross multiply
    65,004x = 97,509.48 × 20,634.24
  4. Step 4: Simplify right side
    65,004x = 2,012,034,012.60
  5. Step 5: Solve for x
    x = 2,012,034,012.60/65,004
  6. Step 6: Final answer
    x = 30,952.46

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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.