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Finding the Fourth Proportional to 30,904.90, 42,649.60 and 17,478.16

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Solution

The fourth proportional to 30,904.90, 42,649.60 and 17,478.16 is: 24,120.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,904.90 : 42,649.60 = 17,478.16 : x
  2. Step 2: Convert to fraction form
    30,904.90/42,649.60 = 17,478.16/x
  3. Step 3: Cross multiply
    30,904.90x = 42,649.60 × 17,478.16
  4. Step 4: Simplify right side
    30,904.90x = 745,436,532.74
  5. Step 5: Solve for x
    x = 745,436,532.74/30,904.90
  6. Step 6: Final answer
    x = 24,120.33

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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.