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Finding the Fourth Proportional to 27,113.98, 40,618 and 18,678.99

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Solution

The fourth proportional to 27,113.98, 40,618 and 18,678.99 is: 27,981.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,113.98 : 40,618 = 18,678.99 : x
  2. Step 2: Convert to fraction form
    27,113.98/40,618 = 18,678.99/x
  3. Step 3: Cross multiply
    27,113.98x = 40,618 × 18,678.99
  4. Step 4: Simplify right side
    27,113.98x = 758,703,215.82
  5. Step 5: Solve for x
    x = 758,703,215.82/27,113.98
  6. Step 6: Final answer
    x = 27,981.99

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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.