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Finding the Fourth Proportional to 32,482.84, 48,724.27 and 7,858.84

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Solution

The fourth proportional to 32,482.84, 48,724.27 and 7,858.84 is: 11,788.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,482.84 : 48,724.27 = 7,858.84 : x
  2. Step 2: Convert to fraction form
    32,482.84/48,724.27 = 7,858.84/x
  3. Step 3: Cross multiply
    32,482.84x = 48,724.27 × 7,858.84
  4. Step 4: Simplify right side
    32,482.84x = 382,916,242.05
  5. Step 5: Solve for x
    x = 382,916,242.05/32,482.84
  6. Step 6: Final answer
    x = 11,788.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.