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Finding the Fourth Proportional to 84,949, 127,423.50 and 29,545

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Solution

The fourth proportional to 84,949, 127,423.50 and 29,545 is: 44,317.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,949 : 127,423.50 = 29,545 : x
  2. Step 2: Convert to fraction form
    84,949/127,423.50 = 29,545/x
  3. Step 3: Cross multiply
    84,949x = 127,423.50 × 29,545
  4. Step 4: Simplify right side
    84,949x = 3,764,727,307.50
  5. Step 5: Solve for x
    x = 3,764,727,307.50/84,949
  6. Step 6: Final answer
    x = 44,317.50

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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.