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Finding the Fourth Proportional to 64,967.16, 97,450.74 and 15,719.16

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Solution

The fourth proportional to 64,967.16, 97,450.74 and 15,719.16 is: 23,578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,967.16 : 97,450.74 = 15,719.16 : x
  2. Step 2: Convert to fraction form
    64,967.16/97,450.74 = 15,719.16/x
  3. Step 3: Cross multiply
    64,967.16x = 97,450.74 × 15,719.16
  4. Step 4: Simplify right side
    64,967.16x = 1,531,843,349.79
  5. Step 5: Solve for x
    x = 1,531,843,349.79/64,967.16
  6. Step 6: Final answer
    x = 23,578.73

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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.