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Finding the Fourth Proportional to 45,983.60, 63,463.60 and 28,083

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Solution

The fourth proportional to 45,983.60, 63,463.60 and 28,083 is: 38,758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,983.60 : 63,463.60 = 28,083 : x
  2. Step 2: Convert to fraction form
    45,983.60/63,463.60 = 28,083/x
  3. Step 3: Cross multiply
    45,983.60x = 63,463.60 × 28,083
  4. Step 4: Simplify right side
    45,983.60x = 1,782,248,278.80
  5. Step 5: Solve for x
    x = 1,782,248,278.80/45,983.60
  6. Step 6: Final answer
    x = 38,758.35

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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.