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Finding the Fourth Proportional to 82,467.36, 113,803.38 and 46,656.72

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Solution

The fourth proportional to 82,467.36, 113,803.38 and 46,656.72 is: 64,385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,467.36 : 113,803.38 = 46,656.72 : x
  2. Step 2: Convert to fraction form
    82,467.36/113,803.38 = 46,656.72/x
  3. Step 3: Cross multiply
    82,467.36x = 113,803.38 × 46,656.72
  4. Step 4: Simplify right side
    82,467.36x = 5,309,692,435.71
  5. Step 5: Solve for x
    x = 5,309,692,435.71/82,467.36
  6. Step 6: Final answer
    x = 64,385.38

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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.