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Finding the Fourth Proportional to 114,462.60, 171,706.70 and 35,576.20

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Solution

The fourth proportional to 114,462.60, 171,706.70 and 35,576.20 is: 53,368.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,462.60 : 171,706.70 = 35,576.20 : x
  2. Step 2: Convert to fraction form
    114,462.60/171,706.70 = 35,576.20/x
  3. Step 3: Cross multiply
    114,462.60x = 171,706.70 × 35,576.20
  4. Step 4: Simplify right side
    114,462.60x = 6,108,671,900.54
  5. Step 5: Solve for x
    x = 6,108,671,900.54/114,462.60
  6. Step 6: Final answer
    x = 53,368.28

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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.