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Finding the Fourth Proportional to 30,702, 42,368.76 and 17,454

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Solution

The fourth proportional to 30,702, 42,368.76 and 17,454 is: 24,086.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,702 : 42,368.76 = 17,454 : x
  2. Step 2: Convert to fraction form
    30,702/42,368.76 = 17,454/x
  3. Step 3: Cross multiply
    30,702x = 42,368.76 × 17,454
  4. Step 4: Simplify right side
    30,702x = 739,504,337.04
  5. Step 5: Solve for x
    x = 739,504,337.04/30,702
  6. Step 6: Final answer
    x = 24,086.52

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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.