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Finding the Fourth Proportional to 82,855.02, 114,346.38 and 47,056.26

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Solution

The fourth proportional to 82,855.02, 114,346.38 and 47,056.26 is: 64,941.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,855.02 : 114,346.38 = 47,056.26 : x
  2. Step 2: Convert to fraction form
    82,855.02/114,346.38 = 47,056.26/x
  3. Step 3: Cross multiply
    82,855.02x = 114,346.38 × 47,056.26
  4. Step 4: Simplify right side
    82,855.02x = 5,380,712,987.34
  5. Step 5: Solve for x
    x = 5,380,712,987.34/82,855.02
  6. Step 6: Final answer
    x = 64,941.30

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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.