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Finding the Fourth Proportional to 114,368.70, 171,564.45 and 47,829.66

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Solution

The fourth proportional to 114,368.70, 171,564.45 and 47,829.66 is: 71,749.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,368.70 : 171,564.45 = 47,829.66 : x
  2. Step 2: Convert to fraction form
    114,368.70/171,564.45 = 47,829.66/x
  3. Step 3: Cross multiply
    114,368.70x = 171,564.45 × 47,829.66
  4. Step 4: Simplify right side
    114,368.70x = 8,205,869,311.59
  5. Step 5: Solve for x
    x = 8,205,869,311.59/114,368.70
  6. Step 6: Final answer
    x = 71,749.26

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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.