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Finding the Fourth Proportional to 51,257, 76,888.38 and 14,323.88

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Solution

The fourth proportional to 51,257, 76,888.38 and 14,323.88 is: 21,486.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,257 : 76,888.38 = 14,323.88 : x
  2. Step 2: Convert to fraction form
    51,257/76,888.38 = 14,323.88/x
  3. Step 3: Cross multiply
    51,257x = 76,888.38 × 14,323.88
  4. Step 4: Simplify right side
    51,257x = 1,101,339,928.51
  5. Step 5: Solve for x
    x = 1,101,339,928.51/51,257
  6. Step 6: Final answer
    x = 21,486.62

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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.