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Finding the Fourth Proportional to 30,547.86, 42,151.77 and 17,118.06

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Solution

The fourth proportional to 30,547.86, 42,151.77 and 17,118.06 is: 23,620.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,547.86 : 42,151.77 = 17,118.06 : x
  2. Step 2: Convert to fraction form
    30,547.86/42,151.77 = 17,118.06/x
  3. Step 3: Cross multiply
    30,547.86x = 42,151.77 × 17,118.06
  4. Step 4: Simplify right side
    30,547.86x = 721,556,527.97
  5. Step 5: Solve for x
    x = 721,556,527.97/30,547.86
  6. Step 6: Final answer
    x = 23,620.53

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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.