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Finding the Fourth Proportional to 82,378.10, 113,688.83 and 46,574.48

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Solution

The fourth proportional to 82,378.10, 113,688.83 and 46,574.48 is: 64,276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,378.10 : 113,688.83 = 46,574.48 : x
  2. Step 2: Convert to fraction form
    82,378.10/113,688.83 = 46,574.48/x
  3. Step 3: Cross multiply
    82,378.10x = 113,688.83 × 46,574.48
  4. Step 4: Simplify right side
    82,378.10x = 5,294,998,139.06
  5. Step 5: Solve for x
    x = 5,294,998,139.06/82,378.10
  6. Step 6: Final answer
    x = 64,276.77

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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.