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Finding the Fourth Proportional to 64,983.48, 97,446.06 and 29,904

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Solution

The fourth proportional to 64,983.48, 97,446.06 and 29,904 is: 44,842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,983.48 : 97,446.06 = 29,904 : x
  2. Step 2: Convert to fraction form
    64,983.48/97,446.06 = 29,904/x
  3. Step 3: Cross multiply
    64,983.48x = 97,446.06 × 29,904
  4. Step 4: Simplify right side
    64,983.48x = 2,914,026,978.24
  5. Step 5: Solve for x
    x = 2,914,026,978.24/64,983.48
  6. Step 6: Final answer
    x = 44,842.58

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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.