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Finding the Fourth Proportional to 32,482.35, 48,723.52 and 7,858.35

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Solution

The fourth proportional to 32,482.35, 48,723.52 and 7,858.35 is: 11,787.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,482.35 : 48,723.52 = 7,858.35 : x
  2. Step 2: Convert to fraction form
    32,482.35/48,723.52 = 7,858.35/x
  3. Step 3: Cross multiply
    32,482.35x = 48,723.52 × 7,858.35
  4. Step 4: Simplify right side
    32,482.35x = 382,886,190.48
  5. Step 5: Solve for x
    x = 382,886,190.48/32,482.35
  6. Step 6: Final answer
    x = 11,787.52

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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.