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Finding the Fourth Proportional to 30,420.93, 45,630.71 and 13,768.91

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Solution

The fourth proportional to 30,420.93, 45,630.71 and 13,768.91 is: 20,653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,420.93 : 45,630.71 = 13,768.91 : x
  2. Step 2: Convert to fraction form
    30,420.93/45,630.71 = 13,768.91/x
  3. Step 3: Cross multiply
    30,420.93x = 45,630.71 × 13,768.91
  4. Step 4: Simplify right side
    30,420.93x = 628,285,139.23
  5. Step 5: Solve for x
    x = 628,285,139.23/30,420.93
  6. Step 6: Final answer
    x = 20,653.05

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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.