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Finding the Fourth Proportional to 30,831.42, 42,535.98 and 20,235.45

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Solution

The fourth proportional to 30,831.42, 42,535.98 and 20,235.45 is: 27,917.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831.42 : 42,535.98 = 20,235.45 : x
  2. Step 2: Convert to fraction form
    30,831.42/42,535.98 = 20,235.45/x
  3. Step 3: Cross multiply
    30,831.42x = 42,535.98 × 20,235.45
  4. Step 4: Simplify right side
    30,831.42x = 860,734,696.49
  5. Step 5: Solve for x
    x = 860,734,696.49/30,831.42
  6. Step 6: Final answer
    x = 27,917.45

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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.