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Finding the Fourth Proportional to 29,165.04, 43,742.70 and 9,457.74

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Solution

The fourth proportional to 29,165.04, 43,742.70 and 9,457.74 is: 14,185.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,165.04 : 43,742.70 = 9,457.74 : x
  2. Step 2: Convert to fraction form
    29,165.04/43,742.70 = 9,457.74/x
  3. Step 3: Cross multiply
    29,165.04x = 43,742.70 × 9,457.74
  4. Step 4: Simplify right side
    29,165.04x = 413,707,083.50
  5. Step 5: Solve for x
    x = 413,707,083.50/29,165.04
  6. Step 6: Final answer
    x = 14,185.03

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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.