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Finding the Fourth Proportional to 46,393.40, 64,023.63 and 25,172.66

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Solution

The fourth proportional to 46,393.40, 64,023.63 and 25,172.66 is: 34,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,393.40 : 64,023.63 = 25,172.66 : x
  2. Step 2: Convert to fraction form
    46,393.40/64,023.63 = 25,172.66/x
  3. Step 3: Cross multiply
    46,393.40x = 64,023.63 × 25,172.66
  4. Step 4: Simplify right side
    46,393.40x = 1,611,645,277.21
  5. Step 5: Solve for x
    x = 1,611,645,277.21/46,393.40
  6. Step 6: Final answer
    x = 34,738.68

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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.