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Finding the Fourth Proportional to 107,917.40, 161,876.10 and 34,045.40

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Solution

The fourth proportional to 107,917.40, 161,876.10 and 34,045.40 is: 51,068.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,917.40 : 161,876.10 = 34,045.40 : x
  2. Step 2: Convert to fraction form
    107,917.40/161,876.10 = 34,045.40/x
  3. Step 3: Cross multiply
    107,917.40x = 161,876.10 × 34,045.40
  4. Step 4: Simplify right side
    107,917.40x = 5,511,136,574.94
  5. Step 5: Solve for x
    x = 5,511,136,574.94/107,917.40
  6. Step 6: Final answer
    x = 51,068.10

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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.