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Finding the Fourth Proportional to 55,075, 76,009.98 and 32,719

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Solution

The fourth proportional to 55,075, 76,009.98 and 32,719 is: 45,156.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,075 : 76,009.98 = 32,719 : x
  2. Step 2: Convert to fraction form
    55,075/76,009.98 = 32,719/x
  3. Step 3: Cross multiply
    55,075x = 76,009.98 × 32,719
  4. Step 4: Simplify right side
    55,075x = 2,486,970,535.62
  5. Step 5: Solve for x
    x = 2,486,970,535.62/55,075
  6. Step 6: Final answer
    x = 45,156.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.