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Finding the Fourth Proportional to 82,983, 114,516.54 and 45,257.52

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Solution

The fourth proportional to 82,983, 114,516.54 and 45,257.52 is: 62,455.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,983 : 114,516.54 = 45,257.52 : x
  2. Step 2: Convert to fraction form
    82,983/114,516.54 = 45,257.52/x
  3. Step 3: Cross multiply
    82,983x = 114,516.54 × 45,257.52
  4. Step 4: Simplify right side
    82,983x = 5,182,734,599.38
  5. Step 5: Solve for x
    x = 5,182,734,599.38/82,983
  6. Step 6: Final answer
    x = 62,455.38

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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.