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Finding the Fourth Proportional to 51,807.18, 71,492.28 and 29,147.40

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Solution

The fourth proportional to 51,807.18, 71,492.28 and 29,147.40 is: 40,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,807.18 : 71,492.28 = 29,147.40 : x
  2. Step 2: Convert to fraction form
    51,807.18/71,492.28 = 29,147.40/x
  3. Step 3: Cross multiply
    51,807.18x = 71,492.28 × 29,147.40
  4. Step 4: Simplify right side
    51,807.18x = 2,083,814,082.07
  5. Step 5: Solve for x
    x = 2,083,814,082.07/51,807.18
  6. Step 6: Final answer
    x = 40,222.50

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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.