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Finding the Fourth Proportional to 75,647.94, 104,392.27 and 41,656.16

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Solution

The fourth proportional to 75,647.94, 104,392.27 and 41,656.16 is: 57,484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,647.94 : 104,392.27 = 41,656.16 : x
  2. Step 2: Convert to fraction form
    75,647.94/104,392.27 = 41,656.16/x
  3. Step 3: Cross multiply
    75,647.94x = 104,392.27 × 41,656.16
  4. Step 4: Simplify right side
    75,647.94x = 4,348,580,475.78
  5. Step 5: Solve for x
    x = 4,348,580,475.78/75,647.94
  6. Step 6: Final answer
    x = 57,484.45

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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.