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Finding the Fourth Proportional to 34,227.72, 51,341.76 and 10,534.98

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Solution

The fourth proportional to 34,227.72, 51,341.76 and 10,534.98 is: 15,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,227.72 : 51,341.76 = 10,534.98 : x
  2. Step 2: Convert to fraction form
    34,227.72/51,341.76 = 10,534.98/x
  3. Step 3: Cross multiply
    34,227.72x = 51,341.76 × 10,534.98
  4. Step 4: Simplify right side
    34,227.72x = 540,884,414.76
  5. Step 5: Solve for x
    x = 540,884,414.76/34,227.72
  6. Step 6: Final answer
    x = 15,802.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.