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Finding the Fourth Proportional to 30,542.86, 45,782.32 and 12,783.70

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Solution

The fourth proportional to 30,542.86, 45,782.32 and 12,783.70 is: 19,162.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,542.86 : 45,782.32 = 12,783.70 : x
  2. Step 2: Convert to fraction form
    30,542.86/45,782.32 = 12,783.70/x
  3. Step 3: Cross multiply
    30,542.86x = 45,782.32 × 12,783.70
  4. Step 4: Simplify right side
    30,542.86x = 585,267,444.18
  5. Step 5: Solve for x
    x = 585,267,444.18/30,542.86
  6. Step 6: Final answer
    x = 19,162.17

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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.