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Finding the Fourth Proportional to 86,424, 119,265.12 and 46,680

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Solution

The fourth proportional to 86,424, 119,265.12 and 46,680 is: 64,418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,424 : 119,265.12 = 46,680 : x
  2. Step 2: Convert to fraction form
    86,424/119,265.12 = 46,680/x
  3. Step 3: Cross multiply
    86,424x = 119,265.12 × 46,680
  4. Step 4: Simplify right side
    86,424x = 5,567,295,801.60
  5. Step 5: Solve for x
    x = 5,567,295,801.60/86,424
  6. Step 6: Final answer
    x = 64,418.40

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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.