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Finding the Fourth Proportional to 64,972.36, 97,380.06 and 31,642.48

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Solution

The fourth proportional to 64,972.36, 97,380.06 and 31,642.48 is: 47,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,972.36 : 97,380.06 = 31,642.48 : x
  2. Step 2: Convert to fraction form
    64,972.36/97,380.06 = 31,642.48/x
  3. Step 3: Cross multiply
    64,972.36x = 97,380.06 × 31,642.48
  4. Step 4: Simplify right side
    64,972.36x = 3,081,346,600.95
  5. Step 5: Solve for x
    x = 3,081,346,600.95/64,972.36
  6. Step 6: Final answer
    x = 47,425.50

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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.