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Finding the Fourth Proportional to 82,405.56, 113,722.07 and 46,594.79

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Solution

The fourth proportional to 82,405.56, 113,722.07 and 46,594.79 is: 64,302.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,405.56 : 113,722.07 = 46,594.79 : x
  2. Step 2: Convert to fraction form
    82,405.56/113,722.07 = 46,594.79/x
  3. Step 3: Cross multiply
    82,405.56x = 113,722.07 × 46,594.79
  4. Step 4: Simplify right side
    82,405.56x = 5,298,855,970.02
  5. Step 5: Solve for x
    x = 5,298,855,970.02/82,405.56
  6. Step 6: Final answer
    x = 64,302.17

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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.