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Finding the Fourth Proportional to 46,129.94, 63,525.28 and 40,077.42

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Solution

The fourth proportional to 46,129.94, 63,525.28 and 40,077.42 is: 55,190.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,129.94 : 63,525.28 = 40,077.42 : x
  2. Step 2: Convert to fraction form
    46,129.94/63,525.28 = 40,077.42/x
  3. Step 3: Cross multiply
    46,129.94x = 63,525.28 × 40,077.42
  4. Step 4: Simplify right side
    46,129.94x = 2,545,929,327.18
  5. Step 5: Solve for x
    x = 2,545,929,327.18/46,129.94
  6. Step 6: Final answer
    x = 55,190.39

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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.