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Finding the Fourth Proportional to 82,513.37, 113,848.94 and 46,703.39

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Solution

The fourth proportional to 82,513.37, 113,848.94 and 46,703.39 is: 64,439.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,513.37 : 113,848.94 = 46,703.39 : x
  2. Step 2: Convert to fraction form
    82,513.37/113,848.94 = 46,703.39/x
  3. Step 3: Cross multiply
    82,513.37x = 113,848.94 × 46,703.39
  4. Step 4: Simplify right side
    82,513.37x = 5,317,130,876.66
  5. Step 5: Solve for x
    x = 5,317,130,876.66/82,513.37
  6. Step 6: Final answer
    x = 64,439.63

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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.