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Finding the Fourth Proportional to 73,409.40, 110,038.86 and 49,719.42

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Solution

The fourth proportional to 73,409.40, 110,038.86 and 49,719.42 is: 74,528.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,409.40 : 110,038.86 = 49,719.42 : x
  2. Step 2: Convert to fraction form
    73,409.40/110,038.86 = 49,719.42/x
  3. Step 3: Cross multiply
    73,409.40x = 110,038.86 × 49,719.42
  4. Step 4: Simplify right side
    73,409.40x = 5,471,068,296.66
  5. Step 5: Solve for x
    x = 5,471,068,296.66/73,409.40
  6. Step 6: Final answer
    x = 74,528.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.