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Finding the Fourth Proportional to 35,998, 49,755.90 and 31,716.34

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Solution

The fourth proportional to 35,998, 49,755.90 and 31,716.34 is: 43,837.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,998 : 49,755.90 = 31,716.34 : x
  2. Step 2: Convert to fraction form
    35,998/49,755.90 = 31,716.34/x
  3. Step 3: Cross multiply
    35,998x = 49,755.90 × 31,716.34
  4. Step 4: Simplify right side
    35,998x = 1,578,075,041.41
  5. Step 5: Solve for x
    x = 1,578,075,041.41/35,998
  6. Step 6: Final answer
    x = 43,837.85

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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.