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Finding the Fourth Proportional to 30,829.44, 42,548.68 and 22,894.32

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Solution

The fourth proportional to 30,829.44, 42,548.68 and 22,894.32 is: 31,597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,829.44 : 42,548.68 = 22,894.32 : x
  2. Step 2: Convert to fraction form
    30,829.44/42,548.68 = 22,894.32/x
  3. Step 3: Cross multiply
    30,829.44x = 42,548.68 × 22,894.32
  4. Step 4: Simplify right side
    30,829.44x = 974,123,095.50
  5. Step 5: Solve for x
    x = 974,123,095.50/30,829.44
  6. Step 6: Final answer
    x = 31,597.17

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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.