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Finding the Fourth Proportional to 82,020.54, 123,030.82 and 46,935.39

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Solution

The fourth proportional to 82,020.54, 123,030.82 and 46,935.39 is: 70,403.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,020.54 : 123,030.82 = 46,935.39 : x
  2. Step 2: Convert to fraction form
    82,020.54/123,030.82 = 46,935.39/x
  3. Step 3: Cross multiply
    82,020.54x = 123,030.82 × 46,935.39
  4. Step 4: Simplify right side
    82,020.54x = 5,774,499,518.72
  5. Step 5: Solve for x
    x = 5,774,499,518.72/82,020.54
  6. Step 6: Final answer
    x = 70,403.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.