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Finding the Fourth Proportional to 65,073.24, 97,633.76 and 46,499.47

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Solution

The fourth proportional to 65,073.24, 97,633.76 and 46,499.47 is: 69,766.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,073.24 : 97,633.76 = 46,499.47 : x
  2. Step 2: Convert to fraction form
    65,073.24/97,633.76 = 46,499.47/x
  3. Step 3: Cross multiply
    65,073.24x = 97,633.76 × 46,499.47
  4. Step 4: Simplify right side
    65,073.24x = 4,539,917,617.53
  5. Step 5: Solve for x
    x = 4,539,917,617.53/65,073.24
  6. Step 6: Final answer
    x = 69,766.28

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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.