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Finding the Fourth Proportional to 101,046, 151,590.84 and 38,716.56

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Solution

The fourth proportional to 101,046, 151,590.84 and 38,716.56 is: 58,083.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,046 : 151,590.84 = 38,716.56 : x
  2. Step 2: Convert to fraction form
    101,046/151,590.84 = 38,716.56/x
  3. Step 3: Cross multiply
    101,046x = 151,590.84 × 38,716.56
  4. Step 4: Simplify right side
    101,046x = 5,869,075,852.31
  5. Step 5: Solve for x
    x = 5,869,075,852.31/101,046
  6. Step 6: Final answer
    x = 58,083.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.