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Finding the Fourth Proportional to 64,967.49, 97,451.24 and 15,719.49

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Solution

The fourth proportional to 64,967.49, 97,451.24 and 15,719.49 is: 23,579.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,967.49 : 97,451.24 = 15,719.49 : x
  2. Step 2: Convert to fraction form
    64,967.49/97,451.24 = 15,719.49/x
  3. Step 3: Cross multiply
    64,967.49x = 97,451.24 × 15,719.49
  4. Step 4: Simplify right side
    64,967.49x = 1,531,883,714.07
  5. Step 5: Solve for x
    x = 1,531,883,714.07/64,967.49
  6. Step 6: Final answer
    x = 23,579.24

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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.