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Finding the Fourth Proportional to 30,602.20, 42,232.72 and 17,177.72

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Solution

The fourth proportional to 30,602.20, 42,232.72 and 17,177.72 is: 23,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,602.20 : 42,232.72 = 17,177.72 : x
  2. Step 2: Convert to fraction form
    30,602.20/42,232.72 = 17,177.72/x
  3. Step 3: Cross multiply
    30,602.20x = 42,232.72 × 17,177.72
  4. Step 4: Simplify right side
    30,602.20x = 725,461,839.00
  5. Step 5: Solve for x
    x = 725,461,839.00/30,602.20
  6. Step 6: Final answer
    x = 23,706.20

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