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Finding the Fourth Proportional to 37,542, 51,807.96 and 20,777.52

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Solution

The fourth proportional to 37,542, 51,807.96 and 20,777.52 is: 28,672.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,542 : 51,807.96 = 20,777.52 : x
  2. Step 2: Convert to fraction form
    37,542/51,807.96 = 20,777.52/x
  3. Step 3: Cross multiply
    37,542x = 51,807.96 × 20,777.52
  4. Step 4: Simplify right side
    37,542x = 1,076,440,925.06
  5. Step 5: Solve for x
    x = 1,076,440,925.06/37,542
  6. Step 6: Final answer
    x = 28,672.98

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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.