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Finding the Fourth Proportional to 45,274.12, 62,434.74 and 35,188

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Solution

The fourth proportional to 45,274.12, 62,434.74 and 35,188 is: 48,525.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,274.12 : 62,434.74 = 35,188 : x
  2. Step 2: Convert to fraction form
    45,274.12/62,434.74 = 35,188/x
  3. Step 3: Cross multiply
    45,274.12x = 62,434.74 × 35,188
  4. Step 4: Simplify right side
    45,274.12x = 2,196,953,631.12
  5. Step 5: Solve for x
    x = 2,196,953,631.12/45,274.12
  6. Step 6: Final answer
    x = 48,525.60

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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.