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Finding the Fourth Proportional to 86,511, 119,385.18 and 46,767

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Solution

The fourth proportional to 86,511, 119,385.18 and 46,767 is: 64,538.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,511 : 119,385.18 = 46,767 : x
  2. Step 2: Convert to fraction form
    86,511/119,385.18 = 46,767/x
  3. Step 3: Cross multiply
    86,511x = 119,385.18 × 46,767
  4. Step 4: Simplify right side
    86,511x = 5,583,286,713.06
  5. Step 5: Solve for x
    x = 5,583,286,713.06/86,511
  6. Step 6: Final answer
    x = 64,538.46

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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.