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Finding the Fourth Proportional to 61,602.50, 92,411.04 and 20,049.50

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Solution

The fourth proportional to 61,602.50, 92,411.04 and 20,049.50 is: 30,076.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,602.50 : 92,411.04 = 20,049.50 : x
  2. Step 2: Convert to fraction form
    61,602.50/92,411.04 = 20,049.50/x
  3. Step 3: Cross multiply
    61,602.50x = 92,411.04 × 20,049.50
  4. Step 4: Simplify right side
    61,602.50x = 1,852,795,146.48
  5. Step 5: Solve for x
    x = 1,852,795,146.48/61,602.50
  6. Step 6: Final answer
    x = 30,076.62

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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.