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Finding the Fourth Proportional to 29,765.04, 44,646.48 and 8,988

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Solution

The fourth proportional to 29,765.04, 44,646.48 and 8,988 is: 13,481.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,765.04 : 44,646.48 = 8,988 : x
  2. Step 2: Convert to fraction form
    29,765.04/44,646.48 = 8,988/x
  3. Step 3: Cross multiply
    29,765.04x = 44,646.48 × 8,988
  4. Step 4: Simplify right side
    29,765.04x = 401,282,562.24
  5. Step 5: Solve for x
    x = 401,282,562.24/29,765.04
  6. Step 6: Final answer
    x = 13,481.67

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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.