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Finding the Fourth Proportional to 65,124.91, 97,694.45 and 20,741.32

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Solution

The fourth proportional to 65,124.91, 97,694.45 and 20,741.32 is: 31,114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,124.91 : 97,694.45 = 20,741.32 : x
  2. Step 2: Convert to fraction form
    65,124.91/97,694.45 = 20,741.32/x
  3. Step 3: Cross multiply
    65,124.91x = 97,694.45 × 20,741.32
  4. Step 4: Simplify right side
    65,124.91x = 2,026,311,513.00
  5. Step 5: Solve for x
    x = 2,026,311,513.00/65,124.91
  6. Step 6: Final answer
    x = 31,114.23

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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.