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Finding the Fourth Proportional to 30,774.19, 42,457.77 and 18,678.48

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Solution

The fourth proportional to 30,774.19, 42,457.77 and 18,678.48 is: 25,769.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774.19 : 42,457.77 = 18,678.48 : x
  2. Step 2: Convert to fraction form
    30,774.19/42,457.77 = 18,678.48/x
  3. Step 3: Cross multiply
    30,774.19x = 42,457.77 × 18,678.48
  4. Step 4: Simplify right side
    30,774.19x = 793,046,677.83
  5. Step 5: Solve for x
    x = 793,046,677.83/30,774.19
  6. Step 6: Final answer
    x = 25,769.87

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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.