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Finding the Fourth Proportional to 100,617.10, 150,916.88 and 34,055.74

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Solution

The fourth proportional to 100,617.10, 150,916.88 and 34,055.74 is: 51,080.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,617.10 : 150,916.88 = 34,055.74 : x
  2. Step 2: Convert to fraction form
    100,617.10/150,916.88 = 34,055.74/x
  3. Step 3: Cross multiply
    100,617.10x = 150,916.88 × 34,055.74
  4. Step 4: Simplify right side
    100,617.10x = 5,139,586,026.89
  5. Step 5: Solve for x
    x = 5,139,586,026.89/100,617.10
  6. Step 6: Final answer
    x = 51,080.64

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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.