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Finding the Fourth Proportional to 37,486.64, 51,732.06 and 20,491.22

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Solution

The fourth proportional to 37,486.64, 51,732.06 and 20,491.22 is: 28,278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,486.64 : 51,732.06 = 20,491.22 : x
  2. Step 2: Convert to fraction form
    37,486.64/51,732.06 = 20,491.22/x
  3. Step 3: Cross multiply
    37,486.64x = 51,732.06 × 20,491.22
  4. Step 4: Simplify right side
    37,486.64x = 1,060,053,022.51
  5. Step 5: Solve for x
    x = 1,060,053,022.51/37,486.64
  6. Step 6: Final answer
    x = 28,278.16

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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.