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Finding the Fourth Proportional to 42,013.84, 57,980.56 and 22,895.18

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Solution

The fourth proportional to 42,013.84, 57,980.56 and 22,895.18 is: 31,596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,013.84 : 57,980.56 = 22,895.18 : x
  2. Step 2: Convert to fraction form
    42,013.84/57,980.56 = 22,895.18/x
  3. Step 3: Cross multiply
    42,013.84x = 57,980.56 × 22,895.18
  4. Step 4: Simplify right side
    42,013.84x = 1,327,475,597.06
  5. Step 5: Solve for x
    x = 1,327,475,597.06/42,013.84
  6. Step 6: Final answer
    x = 31,596.15

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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.