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Finding the Fourth Proportional to 35,405.82, 48,828.15 and 29,457.18

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Solution

The fourth proportional to 35,405.82, 48,828.15 and 29,457.18 is: 40,624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,405.82 : 48,828.15 = 29,457.18 : x
  2. Step 2: Convert to fraction form
    35,405.82/48,828.15 = 29,457.18/x
  3. Step 3: Cross multiply
    35,405.82x = 48,828.15 × 29,457.18
  4. Step 4: Simplify right side
    35,405.82x = 1,438,339,603.62
  5. Step 5: Solve for x
    x = 1,438,339,603.62/35,405.82
  6. Step 6: Final answer
    x = 40,624.38

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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.