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Finding the Fourth Proportional to 65,200.37, 97,800.96 and 23,071.28

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Solution

The fourth proportional to 65,200.37, 97,800.96 and 23,071.28 is: 34,607.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,200.37 : 97,800.96 = 23,071.28 : x
  2. Step 2: Convert to fraction form
    65,200.37/97,800.96 = 23,071.28/x
  3. Step 3: Cross multiply
    65,200.37x = 97,800.96 × 23,071.28
  4. Step 4: Simplify right side
    65,200.37x = 2,256,393,332.43
  5. Step 5: Solve for x
    x = 2,256,393,332.43/65,200.37
  6. Step 6: Final answer
    x = 34,607.06

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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.