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Finding the Fourth Proportional to 30,766.84, 45,981.63 and 22,464.34

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Solution

The fourth proportional to 30,766.84, 45,981.63 and 22,464.34 is: 33,573.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,766.84 : 45,981.63 = 22,464.34 : x
  2. Step 2: Convert to fraction form
    30,766.84/45,981.63 = 22,464.34/x
  3. Step 3: Cross multiply
    30,766.84x = 45,981.63 × 22,464.34
  4. Step 4: Simplify right side
    30,766.84x = 1,032,946,970.07
  5. Step 5: Solve for x
    x = 1,032,946,970.07/30,766.84
  6. Step 6: Final answer
    x = 33,573.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.