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Finding the Fourth Proportional to 64,901.96, 97,352.94 and 23,349

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Solution

The fourth proportional to 64,901.96, 97,352.94 and 23,349 is: 35,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,901.96 : 97,352.94 = 23,349 : x
  2. Step 2: Convert to fraction form
    64,901.96/97,352.94 = 23,349/x
  3. Step 3: Cross multiply
    64,901.96x = 97,352.94 × 23,349
  4. Step 4: Simplify right side
    64,901.96x = 2,273,093,796.06
  5. Step 5: Solve for x
    x = 2,273,093,796.06/64,901.96
  6. Step 6: Final answer
    x = 35,023.50

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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.