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Finding the Fourth Proportional to 71,018.67, 106,527.86 and 41,415.76

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Solution

The fourth proportional to 71,018.67, 106,527.86 and 41,415.76 is: 62,123.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,018.67 : 106,527.86 = 41,415.76 : x
  2. Step 2: Convert to fraction form
    71,018.67/106,527.86 = 41,415.76/x
  3. Step 3: Cross multiply
    71,018.67x = 106,527.86 × 41,415.76
  4. Step 4: Simplify right side
    71,018.67x = 4,411,932,283.07
  5. Step 5: Solve for x
    x = 4,411,932,283.07/71,018.67
  6. Step 6: Final answer
    x = 62,123.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.