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Finding the Fourth Proportional to 30,296.14, 45,444.23 and 14,497.47

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Solution

The fourth proportional to 30,296.14, 45,444.23 and 14,497.47 is: 21,746.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,296.14 : 45,444.23 = 14,497.47 : x
  2. Step 2: Convert to fraction form
    30,296.14/45,444.23 = 14,497.47/x
  3. Step 3: Cross multiply
    30,296.14x = 45,444.23 × 14,497.47
  4. Step 4: Simplify right side
    30,296.14x = 658,826,361.10
  5. Step 5: Solve for x
    x = 658,826,361.10/30,296.14
  6. Step 6: Final answer
    x = 21,746.21

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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.