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Finding the Fourth Proportional to 34,248.92, 51,402.54 and 13,487

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Solution

The fourth proportional to 34,248.92, 51,402.54 and 13,487 is: 20,241.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,248.92 : 51,402.54 = 13,487 : x
  2. Step 2: Convert to fraction form
    34,248.92/51,402.54 = 13,487/x
  3. Step 3: Cross multiply
    34,248.92x = 51,402.54 × 13,487
  4. Step 4: Simplify right side
    34,248.92x = 693,266,056.98
  5. Step 5: Solve for x
    x = 693,266,056.98/34,248.92
  6. Step 6: Final answer
    x = 20,241.98

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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.