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Finding the Fourth Proportional to 75,859.77, 113,804.33 and 29,109.01

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Solution

The fourth proportional to 75,859.77, 113,804.33 and 29,109.01 is: 43,669.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,859.77 : 113,804.33 = 29,109.01 : x
  2. Step 2: Convert to fraction form
    75,859.77/113,804.33 = 29,109.01/x
  3. Step 3: Cross multiply
    75,859.77x = 113,804.33 × 29,109.01
  4. Step 4: Simplify right side
    75,859.77x = 3,312,731,131.89
  5. Step 5: Solve for x
    x = 3,312,731,131.89/75,859.77
  6. Step 6: Final answer
    x = 43,669.14

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Why These Related Problems?

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