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Finding the Fourth Proportional to 82,535.70, 113,902 and 46,724.98

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Solution

The fourth proportional to 82,535.70, 113,902 and 46,724.98 is: 64,482.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,535.70 : 113,902 = 46,724.98 : x
  2. Step 2: Convert to fraction form
    82,535.70/113,902 = 46,724.98/x
  3. Step 3: Cross multiply
    82,535.70x = 113,902 × 46,724.98
  4. Step 4: Simplify right side
    82,535.70x = 5,322,068,671.96
  5. Step 5: Solve for x
    x = 5,322,068,671.96/82,535.70
  6. Step 6: Final answer
    x = 64,482.02

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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.