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Finding the Fourth Proportional to 104,574.69, 156,886.64 and 34,454

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Solution

The fourth proportional to 104,574.69, 156,886.64 and 34,454 is: 51,689.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,574.69 : 156,886.64 = 34,454 : x
  2. Step 2: Convert to fraction form
    104,574.69/156,886.64 = 34,454/x
  3. Step 3: Cross multiply
    104,574.69x = 156,886.64 × 34,454
  4. Step 4: Simplify right side
    104,574.69x = 5,405,372,294.56
  5. Step 5: Solve for x
    x = 5,405,372,294.56/104,574.69
  6. Step 6: Final answer
    x = 51,689.11

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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.