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Finding the Fourth Proportional to 64,922.92, 97,433.64 and 43,813

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Solution

The fourth proportional to 64,922.92, 97,433.64 and 43,813 is: 65,752.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,922.92 : 97,433.64 = 43,813 : x
  2. Step 2: Convert to fraction form
    64,922.92/97,433.64 = 43,813/x
  3. Step 3: Cross multiply
    64,922.92x = 97,433.64 × 43,813
  4. Step 4: Simplify right side
    64,922.92x = 4,268,860,069.32
  5. Step 5: Solve for x
    x = 4,268,860,069.32/64,922.92
  6. Step 6: Final answer
    x = 65,752.74

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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.