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Finding the Fourth Proportional to 30,611.40, 42,248.00 and 17,002.50

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Solution

The fourth proportional to 30,611.40, 42,248.00 and 17,002.50 is: 23,465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,611.40 : 42,248.00 = 17,002.50 : x
  2. Step 2: Convert to fraction form
    30,611.40/42,248.00 = 17,002.50/x
  3. Step 3: Cross multiply
    30,611.40x = 42,248.00 × 17,002.50
  4. Step 4: Simplify right side
    30,611.40x = 718,321,534.99
  5. Step 5: Solve for x
    x = 718,321,534.99/30,611.40
  6. Step 6: Final answer
    x = 23,465.82

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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.