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Finding the Fourth Proportional to 82,140.84, 113,354.20 and 46,330.76

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Solution

The fourth proportional to 82,140.84, 113,354.20 and 46,330.76 is: 63,936.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,140.84 : 113,354.20 = 46,330.76 : x
  2. Step 2: Convert to fraction form
    82,140.84/113,354.20 = 46,330.76/x
  3. Step 3: Cross multiply
    82,140.84x = 113,354.20 × 46,330.76
  4. Step 4: Simplify right side
    82,140.84x = 5,251,786,235.19
  5. Step 5: Solve for x
    x = 5,251,786,235.19/82,140.84
  6. Step 6: Final answer
    x = 63,936.36

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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.