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Finding the Fourth Proportional to 30,262.92, 45,398.64 and 10,538.62

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Solution

The fourth proportional to 30,262.92, 45,398.64 and 10,538.62 is: 15,809.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,262.92 : 45,398.64 = 10,538.62 : x
  2. Step 2: Convert to fraction form
    30,262.92/45,398.64 = 10,538.62/x
  3. Step 3: Cross multiply
    30,262.92x = 45,398.64 × 10,538.62
  4. Step 4: Simplify right side
    30,262.92x = 478,439,015.48
  5. Step 5: Solve for x
    x = 478,439,015.48/30,262.92
  6. Step 6: Final answer
    x = 15,809.41

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1.5x scale

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.