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Finding the Fourth Proportional to 31,074.95, 42,880.23 and 17,460.83

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Solution

The fourth proportional to 31,074.95, 42,880.23 and 17,460.83 is: 24,094.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,074.95 : 42,880.23 = 17,460.83 : x
  2. Step 2: Convert to fraction form
    31,074.95/42,880.23 = 17,460.83/x
  3. Step 3: Cross multiply
    31,074.95x = 42,880.23 × 17,460.83
  4. Step 4: Simplify right side
    31,074.95x = 748,724,191.99
  5. Step 5: Solve for x
    x = 748,724,191.99/31,074.95
  6. Step 6: Final answer
    x = 24,094.14

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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.