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Finding the Fourth Proportional to 38,842, 53,602.02 and 22,075

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Solution

The fourth proportional to 38,842, 53,602.02 and 22,075 is: 30,463.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,842 : 53,602.02 = 22,075 : x
  2. Step 2: Convert to fraction form
    38,842/53,602.02 = 22,075/x
  3. Step 3: Cross multiply
    38,842x = 53,602.02 × 22,075
  4. Step 4: Simplify right side
    38,842x = 1,183,264,591.50
  5. Step 5: Solve for x
    x = 1,183,264,591.50/38,842
  6. Step 6: Final answer
    x = 30,463.53

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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.