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Finding the Fourth Proportional to 34,133.84, 51,206.63 and 10,440.82

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Solution

The fourth proportional to 34,133.84, 51,206.63 and 10,440.82 is: 15,663.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,133.84 : 51,206.63 = 10,440.82 : x
  2. Step 2: Convert to fraction form
    34,133.84/51,206.63 = 10,440.82/x
  3. Step 3: Cross multiply
    34,133.84x = 51,206.63 × 10,440.82
  4. Step 4: Simplify right side
    34,133.84x = 534,638,989.13
  5. Step 5: Solve for x
    x = 534,638,989.13/34,133.84
  6. Step 6: Final answer
    x = 15,663.02

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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.