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Finding the Fourth Proportional to 30,694.60, 45,977.10 and 25,510.60

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Solution

The fourth proportional to 30,694.60, 45,977.10 and 25,510.60 is: 38,212.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,694.60 : 45,977.10 = 25,510.60 : x
  2. Step 2: Convert to fraction form
    30,694.60/45,977.10 = 25,510.60/x
  3. Step 3: Cross multiply
    30,694.60x = 45,977.10 × 25,510.60
  4. Step 4: Simplify right side
    30,694.60x = 1,172,903,407.26
  5. Step 5: Solve for x
    x = 1,172,903,407.26/30,694.60
  6. Step 6: Final answer
    x = 38,212.04

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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.