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Finding the Fourth Proportional to 51,164.11, 70,606.58 and 29,658

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Solution

The fourth proportional to 51,164.11, 70,606.58 and 29,658 is: 40,928.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,164.11 : 70,606.58 = 29,658 : x
  2. Step 2: Convert to fraction form
    51,164.11/70,606.58 = 29,658/x
  3. Step 3: Cross multiply
    51,164.11x = 70,606.58 × 29,658
  4. Step 4: Simplify right side
    51,164.11x = 2,094,049,949.64
  5. Step 5: Solve for x
    x = 2,094,049,949.64/51,164.11
  6. Step 6: Final answer
    x = 40,928.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.