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Finding the Fourth Proportional to 86,617, 119,531.46 and 46,873

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Solution

The fourth proportional to 86,617, 119,531.46 and 46,873 is: 64,684.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,617 : 119,531.46 = 46,873 : x
  2. Step 2: Convert to fraction form
    86,617/119,531.46 = 46,873/x
  3. Step 3: Cross multiply
    86,617x = 119,531.46 × 46,873
  4. Step 4: Simplify right side
    86,617x = 5,602,798,124.58
  5. Step 5: Solve for x
    x = 5,602,798,124.58/86,617
  6. Step 6: Final answer
    x = 64,684.74

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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.