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Finding the Fourth Proportional to 30,971.93, 42,754.34 and 20,913.99

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Solution

The fourth proportional to 30,971.93, 42,754.34 and 20,913.99 is: 28,870.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.93 : 42,754.34 = 20,913.99 : x
  2. Step 2: Convert to fraction form
    30,971.93/42,754.34 = 20,913.99/x
  3. Step 3: Cross multiply
    30,971.93x = 42,754.34 × 20,913.99
  4. Step 4: Simplify right side
    30,971.93x = 894,163,839.22
  5. Step 5: Solve for x
    x = 894,163,839.22/30,971.93
  6. Step 6: Final answer
    x = 28,870.14

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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.