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Finding the Fourth Proportional to 74,876.69, 103,352.72 and 46,205.12

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Solution

The fourth proportional to 74,876.69, 103,352.72 and 46,205.12 is: 63,777.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,876.69 : 103,352.72 = 46,205.12 : x
  2. Step 2: Convert to fraction form
    74,876.69/103,352.72 = 46,205.12/x
  3. Step 3: Cross multiply
    74,876.69x = 103,352.72 × 46,205.12
  4. Step 4: Simplify right side
    74,876.69x = 4,775,424,857.28
  5. Step 5: Solve for x
    x = 4,775,424,857.28/74,876.69
  6. Step 6: Final answer
    x = 63,777.19

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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.