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Finding the Fourth Proportional to 57,055.69, 78,730.78 and 31,558

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Solution

The fourth proportional to 57,055.69, 78,730.78 and 31,558 is: 43,546.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,055.69 : 78,730.78 = 31,558 : x
  2. Step 2: Convert to fraction form
    57,055.69/78,730.78 = 31,558/x
  3. Step 3: Cross multiply
    57,055.69x = 78,730.78 × 31,558
  4. Step 4: Simplify right side
    57,055.69x = 2,484,585,955.24
  5. Step 5: Solve for x
    x = 2,484,585,955.24/57,055.69
  6. Step 6: Final answer
    x = 43,546.68

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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.