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Finding the Fourth Proportional to 56,756.69, 78,323.49 and 31,262.57

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Solution

The fourth proportional to 56,756.69, 78,323.49 and 31,262.57 is: 43,141.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,756.69 : 78,323.49 = 31,262.57 : x
  2. Step 2: Convert to fraction form
    56,756.69/78,323.49 = 31,262.57/x
  3. Step 3: Cross multiply
    56,756.69x = 78,323.49 × 31,262.57
  4. Step 4: Simplify right side
    56,756.69x = 2,448,593,197.15
  5. Step 5: Solve for x
    x = 2,448,593,197.15/56,756.69
  6. Step 6: Final answer
    x = 43,141.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.