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Finding the Fourth Proportional to 86,491, 119,357.58 and 46,747

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Solution

The fourth proportional to 86,491, 119,357.58 and 46,747 is: 64,510.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,491 : 119,357.58 = 46,747 : x
  2. Step 2: Convert to fraction form
    86,491/119,357.58 = 46,747/x
  3. Step 3: Cross multiply
    86,491x = 119,357.58 × 46,747
  4. Step 4: Simplify right side
    86,491x = 5,579,608,792.26
  5. Step 5: Solve for x
    x = 5,579,608,792.26/86,491
  6. Step 6: Final answer
    x = 64,510.86

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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.