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Finding the Fourth Proportional to 30,205.49, 45,296.69 and 9,937.51

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Solution

The fourth proportional to 30,205.49, 45,296.69 and 9,937.51 is: 14,902.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.49 : 45,296.69 = 9,937.51 : x
  2. Step 2: Convert to fraction form
    30,205.49/45,296.69 = 9,937.51/x
  3. Step 3: Cross multiply
    30,205.49x = 45,296.69 × 9,937.51
  4. Step 4: Simplify right side
    30,205.49x = 450,136,033.67
  5. Step 5: Solve for x
    x = 450,136,033.67/30,205.49
  6. Step 6: Final answer
    x = 14,902.46

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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.