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Finding the Fourth Proportional to 117,951, 162,772.38 and 64,959

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Solution

The fourth proportional to 117,951, 162,772.38 and 64,959 is: 89,643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,951 : 162,772.38 = 64,959 : x
  2. Step 2: Convert to fraction form
    117,951/162,772.38 = 64,959/x
  3. Step 3: Cross multiply
    117,951x = 162,772.38 × 64,959
  4. Step 4: Simplify right side
    117,951x = 10,573,531,032.42
  5. Step 5: Solve for x
    x = 10,573,531,032.42/117,951
  6. Step 6: Final answer
    x = 89,643.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.