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Finding the Fourth Proportional to 30,463.92, 45,703.26 and 9,687.42

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Solution

The fourth proportional to 30,463.92, 45,703.26 and 9,687.42 is: 14,533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,463.92 : 45,703.26 = 9,687.42 : x
  2. Step 2: Convert to fraction form
    30,463.92/45,703.26 = 9,687.42/x
  3. Step 3: Cross multiply
    30,463.92x = 45,703.26 × 9,687.42
  4. Step 4: Simplify right side
    30,463.92x = 442,746,674.99
  5. Step 5: Solve for x
    x = 442,746,674.99/30,463.92
  6. Step 6: Final answer
    x = 14,533.48

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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.