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Finding the Fourth Proportional to 30,803.31, 45,963.02 and 28,922.49

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Solution

The fourth proportional to 30,803.31, 45,963.02 and 28,922.49 is: 43,156.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,803.31 : 45,963.02 = 28,922.49 : x
  2. Step 2: Convert to fraction form
    30,803.31/45,963.02 = 28,922.49/x
  3. Step 3: Cross multiply
    30,803.31x = 45,963.02 × 28,922.49
  4. Step 4: Simplify right side
    30,803.31x = 1,329,365,058.63
  5. Step 5: Solve for x
    x = 1,329,365,058.63/30,803.31
  6. Step 6: Final answer
    x = 43,156.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.