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Finding the Fourth Proportional to 30,610, 42,241.80 and 17,362

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Solution

The fourth proportional to 30,610, 42,241.80 and 17,362 is: 23,959.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,610 : 42,241.80 = 17,362 : x
  2. Step 2: Convert to fraction form
    30,610/42,241.80 = 17,362/x
  3. Step 3: Cross multiply
    30,610x = 42,241.80 × 17,362
  4. Step 4: Simplify right side
    30,610x = 733,402,131.60
  5. Step 5: Solve for x
    x = 733,402,131.60/30,610
  6. Step 6: Final answer
    x = 23,959.56

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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.