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Finding the Fourth Proportional to 74,497.20, 102,804.62 and 40,506.36

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Solution

The fourth proportional to 74,497.20, 102,804.62 and 40,506.36 is: 55,897.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,497.20 : 102,804.62 = 40,506.36 : x
  2. Step 2: Convert to fraction form
    74,497.20/102,804.62 = 40,506.36/x
  3. Step 3: Cross multiply
    74,497.20x = 102,804.62 × 40,506.36
  4. Step 4: Simplify right side
    74,497.20x = 4,164,240,947.38
  5. Step 5: Solve for x
    x = 4,164,240,947.38/74,497.20
  6. Step 6: Final answer
    x = 55,897.95

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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.