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Finding the Fourth Proportional to 30,840.48, 42,552 and 19,656

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Solution

The fourth proportional to 30,840.48, 42,552 and 19,656 is: 27,120.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,840.48 : 42,552 = 19,656 : x
  2. Step 2: Convert to fraction form
    30,840.48/42,552 = 19,656/x
  3. Step 3: Cross multiply
    30,840.48x = 42,552 × 19,656
  4. Step 4: Simplify right side
    30,840.48x = 836,402,112
  5. Step 5: Solve for x
    x = 836,402,112/30,840.48
  6. Step 6: Final answer
    x = 27,120.27

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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.