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Finding the Fourth Proportional to 34,056, 51,047.64 and 16,487.28

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Solution

The fourth proportional to 34,056, 51,047.64 and 16,487.28 is: 24,713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,056 : 51,047.64 = 16,487.28 : x
  2. Step 2: Convert to fraction form
    34,056/51,047.64 = 16,487.28/x
  3. Step 3: Cross multiply
    34,056x = 51,047.64 × 16,487.28
  4. Step 4: Simplify right side
    34,056x = 841,636,734.02
  5. Step 5: Solve for x
    x = 841,636,734.02/34,056
  6. Step 6: Final answer
    x = 24,713.32

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Why These Related Problems?

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