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Finding the Fourth Proportional to 42,242.70, 58,227.80 and 33,276

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Solution

The fourth proportional to 42,242.70, 58,227.80 and 33,276 is: 45,868.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,242.70 : 58,227.80 = 33,276 : x
  2. Step 2: Convert to fraction form
    42,242.70/58,227.80 = 33,276/x
  3. Step 3: Cross multiply
    42,242.70x = 58,227.80 × 33,276
  4. Step 4: Simplify right side
    42,242.70x = 1,937,588,272.80
  5. Step 5: Solve for x
    x = 1,937,588,272.80/42,242.70
  6. Step 6: Final answer
    x = 45,868.00

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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.