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Finding the Fourth Proportional to 82,577.12, 113,957 and 44,851.36

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Solution

The fourth proportional to 82,577.12, 113,957 and 44,851.36 is: 61,895.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,577.12 : 113,957 = 44,851.36 : x
  2. Step 2: Convert to fraction form
    82,577.12/113,957 = 44,851.36/x
  3. Step 3: Cross multiply
    82,577.12x = 113,957 × 44,851.36
  4. Step 4: Simplify right side
    82,577.12x = 5,111,126,431.52
  5. Step 5: Solve for x
    x = 5,111,126,431.52/82,577.12
  6. Step 6: Final answer
    x = 61,895.19

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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.