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Finding the Fourth Proportional to 74,578.80, 102,879.96 and 46,235.28

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Solution

The fourth proportional to 74,578.80, 102,879.96 and 46,235.28 is: 63,780.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,578.80 : 102,879.96 = 46,235.28 : x
  2. Step 2: Convert to fraction form
    74,578.80/102,879.96 = 46,235.28/x
  3. Step 3: Cross multiply
    74,578.80x = 102,879.96 × 46,235.28
  4. Step 4: Simplify right side
    74,578.80x = 4,756,683,756.99
  5. Step 5: Solve for x
    x = 4,756,683,756.99/74,578.80
  6. Step 6: Final answer
    x = 63,780.64

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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.