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Finding the Fourth Proportional to 64,117.62, 96,187.32 and 19,743.48

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Solution

The fourth proportional to 64,117.62, 96,187.32 and 19,743.48 is: 29,618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,117.62 : 96,187.32 = 19,743.48 : x
  2. Step 2: Convert to fraction form
    64,117.62/96,187.32 = 19,743.48/x
  3. Step 3: Cross multiply
    64,117.62x = 96,187.32 × 19,743.48
  4. Step 4: Simplify right side
    64,117.62x = 1,899,072,428.67
  5. Step 5: Solve for x
    x = 1,899,072,428.67/64,117.62
  6. Step 6: Final answer
    x = 29,618.57

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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.