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Finding the Fourth Proportional to 83,119, 124,733.21 and 30,528.94

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Solution

The fourth proportional to 83,119, 124,733.21 and 30,528.94 is: 45,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,119 : 124,733.21 = 30,528.94 : x
  2. Step 2: Convert to fraction form
    83,119/124,733.21 = 30,528.94/x
  3. Step 3: Cross multiply
    83,119x = 124,733.21 × 30,528.94
  4. Step 4: Simplify right side
    83,119x = 3,807,972,684.10
  5. Step 5: Solve for x
    x = 3,807,972,684.10/83,119
  6. Step 6: Final answer
    x = 45,813.50

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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.