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Finding the Fourth Proportional to 102,570.10, 153,855.18 and 27,690.17

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Solution

The fourth proportional to 102,570.10, 153,855.18 and 27,690.17 is: 41,535.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,570.10 : 153,855.18 = 27,690.17 : x
  2. Step 2: Convert to fraction form
    102,570.10/153,855.18 = 27,690.17/x
  3. Step 3: Cross multiply
    102,570.10x = 153,855.18 × 27,690.17
  4. Step 4: Simplify right side
    102,570.10x = 4,260,276,185.74
  5. Step 5: Solve for x
    x = 4,260,276,185.74/102,570.10
  6. Step 6: Final answer
    x = 41,535.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.