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Finding the Fourth Proportional to 30,899.69, 42,643.75 and 17,471.07

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Solution

The fourth proportional to 30,899.69, 42,643.75 and 17,471.07 is: 24,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,899.69 : 42,643.75 = 17,471.07 : x
  2. Step 2: Convert to fraction form
    30,899.69/42,643.75 = 17,471.07/x
  3. Step 3: Cross multiply
    30,899.69x = 42,643.75 × 17,471.07
  4. Step 4: Simplify right side
    30,899.69x = 745,031,941.31
  5. Step 5: Solve for x
    x = 745,031,941.31/30,899.69
  6. Step 6: Final answer
    x = 24,111.31

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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.