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Finding the Fourth Proportional to 82,803.74, 114,265.76 and 46,993.10

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Solution

The fourth proportional to 82,803.74, 114,265.76 and 46,993.10 is: 64,848.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,803.74 : 114,265.76 = 46,993.10 : x
  2. Step 2: Convert to fraction form
    82,803.74/114,265.76 = 46,993.10/x
  3. Step 3: Cross multiply
    82,803.74x = 114,265.76 × 46,993.10
  4. Step 4: Simplify right side
    82,803.74x = 5,369,701,479.96
  5. Step 5: Solve for x
    x = 5,369,701,479.96/82,803.74
  6. Step 6: Final answer
    x = 64,848.54

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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.