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Finding the Fourth Proportional to 29,802.12, 44,709.66 and 9,024

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Solution

The fourth proportional to 29,802.12, 44,709.66 and 9,024 is: 13,537.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,802.12 : 44,709.66 = 9,024 : x
  2. Step 2: Convert to fraction form
    29,802.12/44,709.66 = 9,024/x
  3. Step 3: Cross multiply
    29,802.12x = 44,709.66 × 9,024
  4. Step 4: Simplify right side
    29,802.12x = 403,459,971.84
  5. Step 5: Solve for x
    x = 403,459,971.84/29,802.12
  6. Step 6: Final answer
    x = 13,537.96

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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.