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Finding the Fourth Proportional to 82,805.50, 114,271.86 and 45,080.02

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Solution

The fourth proportional to 82,805.50, 114,271.86 and 45,080.02 is: 62,210.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,805.50 : 114,271.86 = 45,080.02 : x
  2. Step 2: Convert to fraction form
    82,805.50/114,271.86 = 45,080.02/x
  3. Step 3: Cross multiply
    82,805.50x = 114,271.86 × 45,080.02
  4. Step 4: Simplify right side
    82,805.50x = 5,151,377,734.24
  5. Step 5: Solve for x
    x = 5,151,377,734.24/82,805.50
  6. Step 6: Final answer
    x = 62,210.57

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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.