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Finding the Fourth Proportional to 47,678.58, 71,521.38 and 12,618

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Solution

The fourth proportional to 47,678.58, 71,521.38 and 12,618 is: 18,927.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,678.58 : 71,521.38 = 12,618 : x
  2. Step 2: Convert to fraction form
    47,678.58/71,521.38 = 12,618/x
  3. Step 3: Cross multiply
    47,678.58x = 71,521.38 × 12,618
  4. Step 4: Simplify right side
    47,678.58x = 902,456,772.84
  5. Step 5: Solve for x
    x = 902,456,772.84/47,678.58
  6. Step 6: Final answer
    x = 18,927.93

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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.