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Finding the Fourth Proportional to 46,389, 69,491.34 and 22,943.88

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Solution

The fourth proportional to 46,389, 69,491.34 and 22,943.88 is: 34,370.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,389 : 69,491.34 = 22,943.88 : x
  2. Step 2: Convert to fraction form
    46,389/69,491.34 = 22,943.88/x
  3. Step 3: Cross multiply
    46,389x = 69,491.34 × 22,943.88
  4. Step 4: Simplify right side
    46,389x = 1,594,400,966.00
  5. Step 5: Solve for x
    x = 1,594,400,966.00/46,389
  6. Step 6: Final answer
    x = 34,370.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.