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Finding the Fourth Proportional to 83,242, 124,875.44 and 30,647.44

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Solution

The fourth proportional to 83,242, 124,875.44 and 30,647.44 is: 45,975.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,242 : 124,875.44 = 30,647.44 : x
  2. Step 2: Convert to fraction form
    83,242/124,875.44 = 30,647.44/x
  3. Step 3: Cross multiply
    83,242x = 124,875.44 × 30,647.44
  4. Step 4: Simplify right side
    83,242x = 3,827,112,554.87
  5. Step 5: Solve for x
    x = 3,827,112,554.87/83,242
  6. Step 6: Final answer
    x = 45,975.74

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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.