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Finding the Fourth Proportional to 35,707.76, 49,270.92 and 22,276.88

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Solution

The fourth proportional to 35,707.76, 49,270.92 and 22,276.88 is: 30,738.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,707.76 : 49,270.92 = 22,276.88 : x
  2. Step 2: Convert to fraction form
    35,707.76/49,270.92 = 22,276.88/x
  3. Step 3: Cross multiply
    35,707.76x = 49,270.92 × 22,276.88
  4. Step 4: Simplify right side
    35,707.76x = 1,097,602,372.33
  5. Step 5: Solve for x
    x = 1,097,602,372.33/35,707.76
  6. Step 6: Final answer
    x = 30,738.48

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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.