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Finding the Fourth Proportional to 76,528.82, 105,638.43 and 57,463.67

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Solution

The fourth proportional to 76,528.82, 105,638.43 and 57,463.67 is: 79,321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,528.82 : 105,638.43 = 57,463.67 : x
  2. Step 2: Convert to fraction form
    76,528.82/105,638.43 = 57,463.67/x
  3. Step 3: Cross multiply
    76,528.82x = 105,638.43 × 57,463.67
  4. Step 4: Simplify right side
    76,528.82x = 6,070,371,929.45
  5. Step 5: Solve for x
    x = 6,070,371,929.45/76,528.82
  6. Step 6: Final answer
    x = 79,321.38

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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.