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Finding the Fourth Proportional to 82,142.84, 113,356.96 and 46,332.76

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Solution

The fourth proportional to 82,142.84, 113,356.96 and 46,332.76 is: 63,939.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,142.84 : 113,356.96 = 46,332.76 : x
  2. Step 2: Convert to fraction form
    82,142.84/113,356.96 = 46,332.76/x
  3. Step 3: Cross multiply
    82,142.84x = 113,356.96 × 46,332.76
  4. Step 4: Simplify right side
    82,142.84x = 5,252,140,822.01
  5. Step 5: Solve for x
    x = 5,252,140,822.01/82,142.84
  6. Step 6: Final answer
    x = 63,939.12

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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.