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Finding the Fourth Proportional to 75,730.61, 104,507.69 and 41,739.11

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Solution

The fourth proportional to 75,730.61, 104,507.69 and 41,739.11 is: 57,599.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,730.61 : 104,507.69 = 41,739.11 : x
  2. Step 2: Convert to fraction form
    75,730.61/104,507.69 = 41,739.11/x
  3. Step 3: Cross multiply
    75,730.61x = 104,507.69 × 41,739.11
  4. Step 4: Simplify right side
    75,730.61x = 4,362,057,237.52
  5. Step 5: Solve for x
    x = 4,362,057,237.52/75,730.61
  6. Step 6: Final answer
    x = 57,599.66

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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.