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Finding the Fourth Proportional to 49,415.40, 74,123.10 and 29,683.80

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Solution

The fourth proportional to 49,415.40, 74,123.10 and 29,683.80 is: 44,525.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,415.40 : 74,123.10 = 29,683.80 : x
  2. Step 2: Convert to fraction form
    49,415.40/74,123.10 = 29,683.80/x
  3. Step 3: Cross multiply
    49,415.40x = 74,123.10 × 29,683.80
  4. Step 4: Simplify right side
    49,415.40x = 2,200,255,275.78
  5. Step 5: Solve for x
    x = 2,200,255,275.78/49,415.40
  6. Step 6: Final answer
    x = 44,525.70

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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.