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Finding the Fourth Proportional to 31,054.56, 42,855.60 and 17,804

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Solution

The fourth proportional to 31,054.56, 42,855.60 and 17,804 is: 24,569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,054.56 : 42,855.60 = 17,804 : x
  2. Step 2: Convert to fraction form
    31,054.56/42,855.60 = 17,804/x
  3. Step 3: Cross multiply
    31,054.56x = 42,855.60 × 17,804
  4. Step 4: Simplify right side
    31,054.56x = 763,001,102.40
  5. Step 5: Solve for x
    x = 763,001,102.40/31,054.56
  6. Step 6: Final answer
    x = 24,569.70

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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.