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Finding the Fourth Proportional to 49,639.50, 74,101.86 and 42,543

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Solution

The fourth proportional to 49,639.50, 74,101.86 and 42,543 is: 63,508.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,639.50 : 74,101.86 = 42,543 : x
  2. Step 2: Convert to fraction form
    49,639.50/74,101.86 = 42,543/x
  3. Step 3: Cross multiply
    49,639.50x = 74,101.86 × 42,543
  4. Step 4: Simplify right side
    49,639.50x = 3,152,515,429.98
  5. Step 5: Solve for x
    x = 3,152,515,429.98/49,639.50
  6. Step 6: Final answer
    x = 63,508.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.