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Finding the Fourth Proportional to 65,059.40, 97,601.16 and 20,697.32

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Solution

The fourth proportional to 65,059.40, 97,601.16 and 20,697.32 is: 31,049.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,059.40 : 97,601.16 = 20,697.32 : x
  2. Step 2: Convert to fraction form
    65,059.40/97,601.16 = 20,697.32/x
  3. Step 3: Cross multiply
    65,059.40x = 97,601.16 × 20,697.32
  4. Step 4: Simplify right side
    65,059.40x = 2,020,082,440.89
  5. Step 5: Solve for x
    x = 2,020,082,440.89/65,059.40
  6. Step 6: Final answer
    x = 31,049.82

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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.