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Finding the Fourth Proportional to 82,193.70, 113,433.30 and 46,386.84

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Solution

The fourth proportional to 82,193.70, 113,433.30 and 46,386.84 is: 64,017.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,193.70 : 113,433.30 = 46,386.84 : x
  2. Step 2: Convert to fraction form
    82,193.70/113,433.30 = 46,386.84/x
  3. Step 3: Cross multiply
    82,193.70x = 113,433.30 × 46,386.84
  4. Step 4: Simplify right side
    82,193.70x = 5,261,812,337.77
  5. Step 5: Solve for x
    x = 5,261,812,337.77/82,193.70
  6. Step 6: Final answer
    x = 64,017.22

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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.