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Finding the Fourth Proportional to 86,747, 119,710.92 and 47,003

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Solution

The fourth proportional to 86,747, 119,710.92 and 47,003 is: 64,864.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,747 : 119,710.92 = 47,003 : x
  2. Step 2: Convert to fraction form
    86,747/119,710.92 = 47,003/x
  3. Step 3: Cross multiply
    86,747x = 119,710.92 × 47,003
  4. Step 4: Simplify right side
    86,747x = 5,626,772,372.76
  5. Step 5: Solve for x
    x = 5,626,772,372.76/86,747
  6. Step 6: Final answer
    x = 64,864.17

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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.