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Finding the Fourth Proportional to 82,803.60, 114,267.16 and 48,354.25

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Solution

The fourth proportional to 82,803.60, 114,267.16 and 48,354.25 is: 66,727.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,803.60 : 114,267.16 = 48,354.25 : x
  2. Step 2: Convert to fraction form
    82,803.60/114,267.16 = 48,354.25/x
  3. Step 3: Cross multiply
    82,803.60x = 114,267.16 × 48,354.25
  4. Step 4: Simplify right side
    82,803.60x = 5,525,302,821.43
  5. Step 5: Solve for x
    x = 5,525,302,821.43/82,803.60
  6. Step 6: Final answer
    x = 66,727.81

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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.