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Finding the Fourth Proportional to 82,529.94, 113,894.04 and 46,719.21

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Solution

The fourth proportional to 82,529.94, 113,894.04 and 46,719.21 is: 64,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,529.94 : 113,894.04 = 46,719.21 : x
  2. Step 2: Convert to fraction form
    82,529.94/113,894.04 = 46,719.21/x
  3. Step 3: Cross multiply
    82,529.94x = 113,894.04 × 46,719.21
  4. Step 4: Simplify right side
    82,529.94x = 5,321,039,572.51
  5. Step 5: Solve for x
    x = 5,321,039,572.51/82,529.94
  6. Step 6: Final answer
    x = 64,474.05

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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.