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Finding the Fourth Proportional to 106,674.70, 160,014.48 and 36,553

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Solution

The fourth proportional to 106,674.70, 160,014.48 and 36,553 is: 54,830.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,674.70 : 160,014.48 = 36,553 : x
  2. Step 2: Convert to fraction form
    106,674.70/160,014.48 = 36,553/x
  3. Step 3: Cross multiply
    106,674.70x = 160,014.48 × 36,553
  4. Step 4: Simplify right side
    106,674.70x = 5,849,009,287.44
  5. Step 5: Solve for x
    x = 5,849,009,287.44/106,674.70
  6. Step 6: Final answer
    x = 54,830.33

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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.