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Finding the Fourth Proportional to 30,769.34, 42,448.38 and 19,430.96

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Solution

The fourth proportional to 30,769.34, 42,448.38 and 19,430.96 is: 26,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,769.34 : 42,448.38 = 19,430.96 : x
  2. Step 2: Convert to fraction form
    30,769.34/42,448.38 = 19,430.96/x
  3. Step 3: Cross multiply
    30,769.34x = 42,448.38 × 19,430.96
  4. Step 4: Simplify right side
    30,769.34x = 824,812,773.84
  5. Step 5: Solve for x
    x = 824,812,773.84/30,769.34
  6. Step 6: Final answer
    x = 26,806.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.