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Finding the Fourth Proportional to 37,706.19, 52,042.14 and 21,788.48

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Solution

The fourth proportional to 37,706.19, 52,042.14 and 21,788.48 is: 30,072.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,706.19 : 52,042.14 = 21,788.48 : x
  2. Step 2: Convert to fraction form
    37,706.19/52,042.14 = 21,788.48/x
  3. Step 3: Cross multiply
    37,706.19x = 52,042.14 × 21,788.48
  4. Step 4: Simplify right side
    37,706.19x = 1,133,918,866.34
  5. Step 5: Solve for x
    x = 1,133,918,866.34/37,706.19
  6. Step 6: Final answer
    x = 30,072.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.