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Finding the Fourth Proportional to 74,002.30, 102,055.02 and 48,499.38

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Solution

The fourth proportional to 74,002.30, 102,055.02 and 48,499.38 is: 66,884.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,002.30 : 102,055.02 = 48,499.38 : x
  2. Step 2: Convert to fraction form
    74,002.30/102,055.02 = 48,499.38/x
  3. Step 3: Cross multiply
    74,002.30x = 102,055.02 × 48,499.38
  4. Step 4: Simplify right side
    74,002.30x = 4,949,605,195.89
  5. Step 5: Solve for x
    x = 4,949,605,195.89/74,002.30
  6. Step 6: Final answer
    x = 66,884.48

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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.