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Finding the Fourth Proportional to 47,711.76, 65,904.20 and 36,312

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Solution

The fourth proportional to 47,711.76, 65,904.20 and 36,312 is: 50,157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,711.76 : 65,904.20 = 36,312 : x
  2. Step 2: Convert to fraction form
    47,711.76/65,904.20 = 36,312/x
  3. Step 3: Cross multiply
    47,711.76x = 65,904.20 × 36,312
  4. Step 4: Simplify right side
    47,711.76x = 2,393,113,310.40
  5. Step 5: Solve for x
    x = 2,393,113,310.40/47,711.76
  6. Step 6: Final answer
    x = 50,157.72

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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.