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Finding the Fourth Proportional to 30,448.08, 42,006 and 19,833.84

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Solution

The fourth proportional to 30,448.08, 42,006 and 19,833.84 is: 27,362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,448.08 : 42,006 = 19,833.84 : x
  2. Step 2: Convert to fraction form
    30,448.08/42,006 = 19,833.84/x
  3. Step 3: Cross multiply
    30,448.08x = 42,006 × 19,833.84
  4. Step 4: Simplify right side
    30,448.08x = 833,140,283.04
  5. Step 5: Solve for x
    x = 833,140,283.04/30,448.08
  6. Step 6: Final answer
    x = 27,362.65

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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.