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Finding the Fourth Proportional to 51,905, 71,628.98 and 29,549

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Solution

The fourth proportional to 51,905, 71,628.98 and 29,549 is: 40,777.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,905 : 71,628.98 = 29,549 : x
  2. Step 2: Convert to fraction form
    51,905/71,628.98 = 29,549/x
  3. Step 3: Cross multiply
    51,905x = 71,628.98 × 29,549
  4. Step 4: Simplify right side
    51,905x = 2,116,564,730.02
  5. Step 5: Solve for x
    x = 2,116,564,730.02/51,905
  6. Step 6: Final answer
    x = 40,777.67

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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.