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Finding the Fourth Proportional to 30,746, 42,429.02 and 17,318.56

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Solution

The fourth proportional to 30,746, 42,429.02 and 17,318.56 is: 23,899.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,746 : 42,429.02 = 17,318.56 : x
  2. Step 2: Convert to fraction form
    30,746/42,429.02 = 17,318.56/x
  3. Step 3: Cross multiply
    30,746x = 42,429.02 × 17,318.56
  4. Step 4: Simplify right side
    30,746x = 734,809,528.61
  5. Step 5: Solve for x
    x = 734,809,528.61/30,746
  6. Step 6: Final answer
    x = 23,899.35

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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.