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Finding the Fourth Proportional to 51,661.68, 77,315.57 and 35,884.50

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Solution

The fourth proportional to 51,661.68, 77,315.57 and 35,884.50 is: 53,703.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,661.68 : 77,315.57 = 35,884.50 : x
  2. Step 2: Convert to fraction form
    51,661.68/77,315.57 = 35,884.50/x
  3. Step 3: Cross multiply
    51,661.68x = 77,315.57 × 35,884.50
  4. Step 4: Simplify right side
    51,661.68x = 2,774,430,571.67
  5. Step 5: Solve for x
    x = 2,774,430,571.67/51,661.68
  6. Step 6: Final answer
    x = 53,703.84

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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.