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Finding the Fourth Proportional to 30,492.35, 45,727.13 and 10,496.24

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Solution

The fourth proportional to 30,492.35, 45,727.13 and 10,496.24 is: 15,740.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,492.35 : 45,727.13 = 10,496.24 : x
  2. Step 2: Convert to fraction form
    30,492.35/45,727.13 = 10,496.24/x
  3. Step 3: Cross multiply
    30,492.35x = 45,727.13 × 10,496.24
  4. Step 4: Simplify right side
    30,492.35x = 479,962,649.87
  5. Step 5: Solve for x
    x = 479,962,649.87/30,492.35
  6. Step 6: Final answer
    x = 15,740.43

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