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Finding the Fourth Proportional to 30,447.65, 42,019.74 and 17,019.47

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Solution

The fourth proportional to 30,447.65, 42,019.74 and 17,019.47 is: 23,487.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,447.65 : 42,019.74 = 17,019.47 : x
  2. Step 2: Convert to fraction form
    30,447.65/42,019.74 = 17,019.47/x
  3. Step 3: Cross multiply
    30,447.65x = 42,019.74 × 17,019.47
  4. Step 4: Simplify right side
    30,447.65x = 715,153,704.34
  5. Step 5: Solve for x
    x = 715,153,704.34/30,447.65
  6. Step 6: Final answer
    x = 23,487.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.