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Finding the Fourth Proportional to 30,898.72, 42,642.62 and 17,470.25

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Solution

The fourth proportional to 30,898.72, 42,642.62 and 17,470.25 is: 24,110.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,898.72 : 42,642.62 = 17,470.25 : x
  2. Step 2: Convert to fraction form
    30,898.72/42,642.62 = 17,470.25/x
  3. Step 3: Cross multiply
    30,898.72x = 42,642.62 × 17,470.25
  4. Step 4: Simplify right side
    30,898.72x = 744,977,232.06
  5. Step 5: Solve for x
    x = 744,977,232.06/30,898.72
  6. Step 6: Final answer
    x = 24,110.29

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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.