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Finding the Fourth Proportional to 30,475.30, 45,707.34 and 13,831.32

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Solution

The fourth proportional to 30,475.30, 45,707.34 and 13,831.32 is: 20,744.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,475.30 : 45,707.34 = 13,831.32 : x
  2. Step 2: Convert to fraction form
    30,475.30/45,707.34 = 13,831.32/x
  3. Step 3: Cross multiply
    30,475.30x = 45,707.34 × 13,831.32
  4. Step 4: Simplify right side
    30,475.30x = 632,192,845.89
  5. Step 5: Solve for x
    x = 632,192,845.89/30,475.30
  6. Step 6: Final answer
    x = 20,744.43

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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.