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Finding the Fourth Proportional to 30,478.13, 45,717.20 and 12,935.66

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Solution

The fourth proportional to 30,478.13, 45,717.20 and 12,935.66 is: 19,403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,478.13 : 45,717.20 = 12,935.66 : x
  2. Step 2: Convert to fraction form
    30,478.13/45,717.20 = 12,935.66/x
  3. Step 3: Cross multiply
    30,478.13x = 45,717.20 × 12,935.66
  4. Step 4: Simplify right side
    30,478.13x = 591,382,155.35
  5. Step 5: Solve for x
    x = 591,382,155.35/30,478.13
  6. Step 6: Final answer
    x = 19,403.49

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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.