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Finding the Fourth Proportional to 51,509.87, 77,383.59 and 49,381.74

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Solution

The fourth proportional to 51,509.87, 77,383.59 and 49,381.74 is: 74,186.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,509.87 : 77,383.59 = 49,381.74 : x
  2. Step 2: Convert to fraction form
    51,509.87/77,383.59 = 49,381.74/x
  3. Step 3: Cross multiply
    51,509.87x = 77,383.59 × 49,381.74
  4. Step 4: Simplify right side
    51,509.87x = 3,821,336,281.07
  5. Step 5: Solve for x
    x = 3,821,336,281.07/51,509.87
  6. Step 6: Final answer
    x = 74,186.48

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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.