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Finding the Fourth Proportional to 82,335, 113,638.77 and 46,525.44

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Solution

The fourth proportional to 82,335, 113,638.77 and 46,525.44 is: 64,214.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,335 : 113,638.77 = 46,525.44 : x
  2. Step 2: Convert to fraction form
    82,335/113,638.77 = 46,525.44/x
  3. Step 3: Cross multiply
    82,335x = 113,638.77 × 46,525.44
  4. Step 4: Simplify right side
    82,335x = 5,287,093,775.31
  5. Step 5: Solve for x
    x = 5,287,093,775.31/82,335
  6. Step 6: Final answer
    x = 64,214.41

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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.