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Finding the Fourth Proportional to 74,000.49, 102,052.53 and 48,497.56

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Solution

The fourth proportional to 74,000.49, 102,052.53 and 48,497.56 is: 66,881.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,000.49 : 102,052.53 = 48,497.56 : x
  2. Step 2: Convert to fraction form
    74,000.49/102,052.53 = 48,497.56/x
  3. Step 3: Cross multiply
    74,000.49x = 102,052.53 × 48,497.56
  4. Step 4: Simplify right side
    74,000.49x = 4,949,298,696.83
  5. Step 5: Solve for x
    x = 4,949,298,696.83/74,000.49
  6. Step 6: Final answer
    x = 66,881.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.