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Finding the Fourth Proportional to 82,378.60, 113,689.52 and 46,574.98

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Solution

The fourth proportional to 82,378.60, 113,689.52 and 46,574.98 is: 64,277.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,378.60 : 113,689.52 = 46,574.98 : x
  2. Step 2: Convert to fraction form
    82,378.60/113,689.52 = 46,574.98/x
  3. Step 3: Cross multiply
    82,378.60x = 113,689.52 × 46,574.98
  4. Step 4: Simplify right side
    82,378.60x = 5,295,087,120.21
  5. Step 5: Solve for x
    x = 5,295,087,120.21/82,378.60
  6. Step 6: Final answer
    x = 64,277.46

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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.