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Finding the Fourth Proportional to 77,059, 106,341.54 and 41,731

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Solution

The fourth proportional to 77,059, 106,341.54 and 41,731 is: 57,588.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,059 : 106,341.54 = 41,731 : x
  2. Step 2: Convert to fraction form
    77,059/106,341.54 = 41,731/x
  3. Step 3: Cross multiply
    77,059x = 106,341.54 × 41,731
  4. Step 4: Simplify right side
    77,059x = 4,437,738,805.74
  5. Step 5: Solve for x
    x = 4,437,738,805.74/77,059
  6. Step 6: Final answer
    x = 57,588.84

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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.