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Finding the Fourth Proportional to 83,114.34, 124,597.56 and 30,511.50

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Solution

The fourth proportional to 83,114.34, 124,597.56 and 30,511.50 is: 45,740.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,114.34 : 124,597.56 = 30,511.50 : x
  2. Step 2: Convert to fraction form
    83,114.34/124,597.56 = 30,511.50/x
  3. Step 3: Cross multiply
    83,114.34x = 124,597.56 × 30,511.50
  4. Step 4: Simplify right side
    83,114.34x = 3,801,658,451.94
  5. Step 5: Solve for x
    x = 3,801,658,451.94/83,114.34
  6. Step 6: Final answer
    x = 45,740.10

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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.