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Finding the Fourth Proportional to 30,045.39, 45,069 and 10,323.66

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Solution

The fourth proportional to 30,045.39, 45,069 and 10,323.66 is: 15,485.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,045.39 : 45,069 = 10,323.66 : x
  2. Step 2: Convert to fraction form
    30,045.39/45,069 = 10,323.66/x
  3. Step 3: Cross multiply
    30,045.39x = 45,069 × 10,323.66
  4. Step 4: Simplify right side
    30,045.39x = 465,277,032.54
  5. Step 5: Solve for x
    x = 465,277,032.54/30,045.39
  6. Step 6: Final answer
    x = 15,485.80

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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.