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Finding the Fourth Proportional to 37,386.36, 56,078.82 and 9,683.64

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Solution

The fourth proportional to 37,386.36, 56,078.82 and 9,683.64 is: 14,525.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,386.36 : 56,078.82 = 9,683.64 : x
  2. Step 2: Convert to fraction form
    37,386.36/56,078.82 = 9,683.64/x
  3. Step 3: Cross multiply
    37,386.36x = 56,078.82 × 9,683.64
  4. Step 4: Simplify right side
    37,386.36x = 543,047,104.50
  5. Step 5: Solve for x
    x = 543,047,104.50/37,386.36
  6. Step 6: Final answer
    x = 14,525.27

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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.