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Finding the Fourth Proportional to 82,371.60, 113,679.86 and 46,567.98

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Solution

The fourth proportional to 82,371.60, 113,679.86 and 46,567.98 is: 64,267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,371.60 : 113,679.86 = 46,567.98 : x
  2. Step 2: Convert to fraction form
    82,371.60/113,679.86 = 46,567.98/x
  3. Step 3: Cross multiply
    82,371.60x = 113,679.86 × 46,567.98
  4. Step 4: Simplify right side
    82,371.60x = 5,293,841,214.04
  5. Step 5: Solve for x
    x = 5,293,841,214.04/82,371.60
  6. Step 6: Final answer
    x = 64,267.80

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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.