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Finding the Fourth Proportional to 83,051.60, 124,593.80 and 30,461.54

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Solution

The fourth proportional to 83,051.60, 124,593.80 and 30,461.54 is: 45,698.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,051.60 : 124,593.80 = 30,461.54 : x
  2. Step 2: Convert to fraction form
    83,051.60/124,593.80 = 30,461.54/x
  3. Step 3: Cross multiply
    83,051.60x = 124,593.80 × 30,461.54
  4. Step 4: Simplify right side
    83,051.60x = 3,795,318,247.18
  5. Step 5: Solve for x
    x = 3,795,318,247.18/83,051.60
  6. Step 6: Final answer
    x = 45,698.32

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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.