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Finding the Fourth Proportional to 30,572.28, 45,865.32 and 13,927.86

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Solution

The fourth proportional to 30,572.28, 45,865.32 and 13,927.86 is: 20,894.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,572.28 : 45,865.32 = 13,927.86 : x
  2. Step 2: Convert to fraction form
    30,572.28/45,865.32 = 13,927.86/x
  3. Step 3: Cross multiply
    30,572.28x = 45,865.32 × 13,927.86
  4. Step 4: Simplify right side
    30,572.28x = 638,805,755.82
  5. Step 5: Solve for x
    x = 638,805,755.82/30,572.28
  6. Step 6: Final answer
    x = 20,894.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.