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Finding the Fourth Proportional to 35,703.78, 49,271.13 and 20,596.20

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Solution

The fourth proportional to 35,703.78, 49,271.13 and 20,596.20 is: 28,422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,703.78 : 49,271.13 = 20,596.20 : x
  2. Step 2: Convert to fraction form
    35,703.78/49,271.13 = 20,596.20/x
  3. Step 3: Cross multiply
    35,703.78x = 49,271.13 × 20,596.20
  4. Step 4: Simplify right side
    35,703.78x = 1,014,798,047.71
  5. Step 5: Solve for x
    x = 1,014,798,047.71/35,703.78
  6. Step 6: Final answer
    x = 28,422.71

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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.