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Finding the Fourth Proportional to 82,094, 113,289.54 and 46,283.76

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Solution

The fourth proportional to 82,094, 113,289.54 and 46,283.76 is: 63,871.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,094 : 113,289.54 = 46,283.76 : x
  2. Step 2: Convert to fraction form
    82,094/113,289.54 = 46,283.76/x
  3. Step 3: Cross multiply
    82,094x = 113,289.54 × 46,283.76
  4. Step 4: Simplify right side
    82,094x = 5,243,465,879.87
  5. Step 5: Solve for x
    x = 5,243,465,879.87/82,094
  6. Step 6: Final answer
    x = 63,871.49

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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.