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Finding the Fourth Proportional to 82,647.30, 114,050.87 and 46,840.62

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Solution

The fourth proportional to 82,647.30, 114,050.87 and 46,840.62 is: 64,638.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,647.30 : 114,050.87 = 46,840.62 : x
  2. Step 2: Convert to fraction form
    82,647.30/114,050.87 = 46,840.62/x
  3. Step 3: Cross multiply
    82,647.30x = 114,050.87 × 46,840.62
  4. Step 4: Simplify right side
    82,647.30x = 5,342,213,009.19
  5. Step 5: Solve for x
    x = 5,342,213,009.19/82,647.30
  6. Step 6: Final answer
    x = 64,638.69

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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.