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Finding the Fourth Proportional to 51,675.71, 77,448.84 and 22,058.87

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Solution

The fourth proportional to 51,675.71, 77,448.84 and 22,058.87 is: 33,060.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,675.71 : 77,448.84 = 22,058.87 : x
  2. Step 2: Convert to fraction form
    51,675.71/77,448.84 = 22,058.87/x
  3. Step 3: Cross multiply
    51,675.71x = 77,448.84 × 22,058.87
  4. Step 4: Simplify right side
    51,675.71x = 1,708,433,505.97
  5. Step 5: Solve for x
    x = 1,708,433,505.97/51,675.71
  6. Step 6: Final answer
    x = 33,060.67

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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.