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Finding the Fourth Proportional to 30,462.48, 42,026.04 and 19,278

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Solution

The fourth proportional to 30,462.48, 42,026.04 and 19,278 is: 26,595.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,462.48 : 42,026.04 = 19,278 : x
  2. Step 2: Convert to fraction form
    30,462.48/42,026.04 = 19,278/x
  3. Step 3: Cross multiply
    30,462.48x = 42,026.04 × 19,278
  4. Step 4: Simplify right side
    30,462.48x = 810,177,999.12
  5. Step 5: Solve for x
    x = 810,177,999.12/30,462.48
  6. Step 6: Final answer
    x = 26,595.93

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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.