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Finding the Fourth Proportional to 40,894.64, 61,341.94 and 13,192.64

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Solution

The fourth proportional to 40,894.64, 61,341.94 and 13,192.64 is: 19,788.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,894.64 : 61,341.94 = 13,192.64 : x
  2. Step 2: Convert to fraction form
    40,894.64/61,341.94 = 13,192.64/x
  3. Step 3: Cross multiply
    40,894.64x = 61,341.94 × 13,192.64
  4. Step 4: Simplify right side
    40,894.64x = 809,262,131.32
  5. Step 5: Solve for x
    x = 809,262,131.32/40,894.64
  6. Step 6: Final answer
    x = 19,788.95

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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.