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Finding the Fourth Proportional to 86,518, 119,394.96 and 46,774

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Solution

The fourth proportional to 86,518, 119,394.96 and 46,774 is: 64,548.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,518 : 119,394.96 = 46,774 : x
  2. Step 2: Convert to fraction form
    86,518/119,394.96 = 46,774/x
  3. Step 3: Cross multiply
    86,518x = 119,394.96 × 46,774
  4. Step 4: Simplify right side
    86,518x = 5,584,579,859.04
  5. Step 5: Solve for x
    x = 5,584,579,859.04/86,518
  6. Step 6: Final answer
    x = 64,548.18

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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.