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Finding the Fourth Proportional to 83,283.01, 124,916.42 and 45,830.77

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Solution

The fourth proportional to 83,283.01, 124,916.42 and 45,830.77 is: 68,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,283.01 : 124,916.42 = 45,830.77 : x
  2. Step 2: Convert to fraction form
    83,283.01/124,916.42 = 45,830.77/x
  3. Step 3: Cross multiply
    83,283.01x = 124,916.42 × 45,830.77
  4. Step 4: Simplify right side
    83,283.01x = 5,725,015,485.09
  5. Step 5: Solve for x
    x = 5,725,015,485.09/83,283.01
  6. Step 6: Final answer
    x = 68,741.70

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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.