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Finding the Fourth Proportional to 94,911.81, 130,971.72 and 52,467

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Solution

The fourth proportional to 94,911.81, 130,971.72 and 52,467 is: 72,400.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,911.81 : 130,971.72 = 52,467 : x
  2. Step 2: Convert to fraction form
    94,911.81/130,971.72 = 52,467/x
  3. Step 3: Cross multiply
    94,911.81x = 130,971.72 × 52,467
  4. Step 4: Simplify right side
    94,911.81x = 6,871,693,233.24
  5. Step 5: Solve for x
    x = 6,871,693,233.24/94,911.81
  6. Step 6: Final answer
    x = 72,400.82

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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.