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Finding the Fourth Proportional to 107,020.35, 160,552.44 and 47,862

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Solution

The fourth proportional to 107,020.35, 160,552.44 and 47,862 is: 71,802.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,020.35 : 160,552.44 = 47,862 : x
  2. Step 2: Convert to fraction form
    107,020.35/160,552.44 = 47,862/x
  3. Step 3: Cross multiply
    107,020.35x = 160,552.44 × 47,862
  4. Step 4: Simplify right side
    107,020.35x = 7,684,360,883.28
  5. Step 5: Solve for x
    x = 7,684,360,883.28/107,020.35
  6. Step 6: Final answer
    x = 71,802.80

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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.