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Finding the Fourth Proportional to 82,078.17, 113,261.07 and 46,276.98

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Solution

The fourth proportional to 82,078.17, 113,261.07 and 46,276.98 is: 63,858.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,078.17 : 113,261.07 = 46,276.98 : x
  2. Step 2: Convert to fraction form
    82,078.17/113,261.07 = 46,276.98/x
  3. Step 3: Cross multiply
    82,078.17x = 113,261.07 × 46,276.98
  4. Step 4: Simplify right side
    82,078.17x = 5,241,380,271.17
  5. Step 5: Solve for x
    x = 5,241,380,271.17/82,078.17
  6. Step 6: Final answer
    x = 63,858.40

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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.