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Finding the Fourth Proportional to 55,903.60, 83,831.10 and 16,452.55

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Solution

The fourth proportional to 55,903.60, 83,831.10 and 16,452.55 is: 24,671.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,903.60 : 83,831.10 = 16,452.55 : x
  2. Step 2: Convert to fraction form
    55,903.60/83,831.10 = 16,452.55/x
  3. Step 3: Cross multiply
    55,903.60x = 83,831.10 × 16,452.55
  4. Step 4: Simplify right side
    55,903.60x = 1,379,235,364.31
  5. Step 5: Solve for x
    x = 1,379,235,364.31/55,903.60
  6. Step 6: Final answer
    x = 24,671.67

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Why These Related Problems?

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