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Finding the Fourth Proportional to 47,657.76, 65,766.78 and 26,436.84

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Solution

The fourth proportional to 47,657.76, 65,766.78 and 26,436.84 is: 36,482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,657.76 : 65,766.78 = 26,436.84 : x
  2. Step 2: Convert to fraction form
    47,657.76/65,766.78 = 26,436.84/x
  3. Step 3: Cross multiply
    47,657.76x = 65,766.78 × 26,436.84
  4. Step 4: Simplify right side
    47,657.76x = 1,738,665,840.18
  5. Step 5: Solve for x
    x = 1,738,665,840.18/47,657.76
  6. Step 6: Final answer
    x = 36,482.32

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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.