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Finding the Fourth Proportional to 51,239.75, 76,870.98 and 15,705.98

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Solution

The fourth proportional to 51,239.75, 76,870.98 and 15,705.98 is: 23,562.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,239.75 : 76,870.98 = 15,705.98 : x
  2. Step 2: Convert to fraction form
    51,239.75/76,870.98 = 15,705.98/x
  3. Step 3: Cross multiply
    51,239.75x = 76,870.98 × 15,705.98
  4. Step 4: Simplify right side
    51,239.75x = 1,207,334,074.46
  5. Step 5: Solve for x
    x = 1,207,334,074.46/51,239.75
  6. Step 6: Final answer
    x = 23,562.45

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Why These Related Problems?

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