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Finding the Fourth Proportional to 30,973.92, 46,463.96 and 9,908.68

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Solution

The fourth proportional to 30,973.92, 46,463.96 and 9,908.68 is: 14,864.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,973.92 : 46,463.96 = 9,908.68 : x
  2. Step 2: Convert to fraction form
    30,973.92/46,463.96 = 9,908.68/x
  3. Step 3: Cross multiply
    30,973.92x = 46,463.96 × 9,908.68
  4. Step 4: Simplify right side
    30,973.92x = 460,396,511.17
  5. Step 5: Solve for x
    x = 460,396,511.17/30,973.92
  6. Step 6: Final answer
    x = 14,864.01

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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.