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Finding the Fourth Proportional to 52,831.63, 72,915.13 and 32,695

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Solution

The fourth proportional to 52,831.63, 72,915.13 and 32,695 is: 45,123.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,831.63 : 72,915.13 = 32,695 : x
  2. Step 2: Convert to fraction form
    52,831.63/72,915.13 = 32,695/x
  3. Step 3: Cross multiply
    52,831.63x = 72,915.13 × 32,695
  4. Step 4: Simplify right side
    52,831.63x = 2,383,960,011.88
  5. Step 5: Solve for x
    x = 2,383,960,011.88/52,831.63
  6. Step 6: Final answer
    x = 45,123.73

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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.