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Finding the Fourth Proportional to 35,883.74, 49,575.74 and 27,415.50

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Solution

The fourth proportional to 35,883.74, 49,575.74 and 27,415.50 is: 37,876.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,883.74 : 49,575.74 = 27,415.50 : x
  2. Step 2: Convert to fraction form
    35,883.74/49,575.74 = 27,415.50/x
  3. Step 3: Cross multiply
    35,883.74x = 49,575.74 × 27,415.50
  4. Step 4: Simplify right side
    35,883.74x = 1,359,143,562.89
  5. Step 5: Solve for x
    x = 1,359,143,562.89/35,883.74
  6. Step 6: Final answer
    x = 37,876.31

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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.