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Finding the Fourth Proportional to 37,504.84, 51,719.16 and 27,434.92

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Solution

The fourth proportional to 37,504.84, 51,719.16 and 27,434.92 is: 37,832.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,504.84 : 51,719.16 = 27,434.92 : x
  2. Step 2: Convert to fraction form
    37,504.84/51,719.16 = 27,434.92/x
  3. Step 3: Cross multiply
    37,504.84x = 51,719.16 × 27,434.92
  4. Step 4: Simplify right side
    37,504.84x = 1,418,911,017.07
  5. Step 5: Solve for x
    x = 1,418,911,017.07/37,504.84
  6. Step 6: Final answer
    x = 37,832.74

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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.