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Finding the Fourth Proportional to 48,970, 73,466.52 and 16,138

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Solution

The fourth proportional to 48,970, 73,466.52 and 16,138 is: 24,210.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,970 : 73,466.52 = 16,138 : x
  2. Step 2: Convert to fraction form
    48,970/73,466.52 = 16,138/x
  3. Step 3: Cross multiply
    48,970x = 73,466.52 × 16,138
  4. Step 4: Simplify right side
    48,970x = 1,185,602,699.76
  5. Step 5: Solve for x
    x = 1,185,602,699.76/48,970
  6. Step 6: Final answer
    x = 24,210.80

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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.