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Finding the Fourth Proportional to 30,054.12, 41,477.28 and 17,478

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Solution

The fourth proportional to 30,054.12, 41,477.28 and 17,478 is: 24,121.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,054.12 : 41,477.28 = 17,478 : x
  2. Step 2: Convert to fraction form
    30,054.12/41,477.28 = 17,478/x
  3. Step 3: Cross multiply
    30,054.12x = 41,477.28 × 17,478
  4. Step 4: Simplify right side
    30,054.12x = 724,939,899.84
  5. Step 5: Solve for x
    x = 724,939,899.84/30,054.12
  6. Step 6: Final answer
    x = 24,121.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.