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Finding the Fourth Proportional to 86,497, 119,365.86 and 46,753

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Solution

The fourth proportional to 86,497, 119,365.86 and 46,753 is: 64,519.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,497 : 119,365.86 = 46,753 : x
  2. Step 2: Convert to fraction form
    86,497/119,365.86 = 46,753/x
  3. Step 3: Cross multiply
    86,497x = 119,365.86 × 46,753
  4. Step 4: Simplify right side
    86,497x = 5,580,712,052.58
  5. Step 5: Solve for x
    x = 5,580,712,052.58/86,497
  6. Step 6: Final answer
    x = 64,519.14

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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.