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Finding the Fourth Proportional to 76,384.80, 105,440.40 and 49,557.60

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Solution

The fourth proportional to 76,384.80, 105,440.40 and 49,557.60 is: 68,408.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,384.80 : 105,440.40 = 49,557.60 : x
  2. Step 2: Convert to fraction form
    76,384.80/105,440.40 = 49,557.60/x
  3. Step 3: Cross multiply
    76,384.80x = 105,440.40 × 49,557.60
  4. Step 4: Simplify right side
    76,384.80x = 5,225,373,167.04
  5. Step 5: Solve for x
    x = 5,225,373,167.04/76,384.80
  6. Step 6: Final answer
    x = 68,408.55

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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.