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Finding the Fourth Proportional to 30,172.50, 45,258.75 and 20,675.45

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Solution

The fourth proportional to 30,172.50, 45,258.75 and 20,675.45 is: 31,013.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,172.50 : 45,258.75 = 20,675.45 : x
  2. Step 2: Convert to fraction form
    30,172.50/45,258.75 = 20,675.45/x
  3. Step 3: Cross multiply
    30,172.50x = 45,258.75 × 20,675.45
  4. Step 4: Simplify right side
    30,172.50x = 935,745,135.83
  5. Step 5: Solve for x
    x = 935,745,135.83/30,172.50
  6. Step 6: Final answer
    x = 31,013.18

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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.