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Finding the Fourth Proportional to 82,466, 113,803.11 and 46,655.24

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Solution

The fourth proportional to 82,466, 113,803.11 and 46,655.24 is: 64,384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,466 : 113,803.11 = 46,655.24 : x
  2. Step 2: Convert to fraction form
    82,466/113,803.11 = 46,655.24/x
  3. Step 3: Cross multiply
    82,466x = 113,803.11 × 46,655.24
  4. Step 4: Simplify right side
    82,466x = 5,309,511,409.80
  5. Step 5: Solve for x
    x = 5,309,511,409.80/82,466
  6. Step 6: Final answer
    x = 64,384.25

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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.