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Finding the Fourth Proportional to 61,901.76, 92,817.02 and 33,014.74

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Solution

The fourth proportional to 61,901.76, 92,817.02 and 33,014.74 is: 49,503.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,901.76 : 92,817.02 = 33,014.74 : x
  2. Step 2: Convert to fraction form
    61,901.76/92,817.02 = 33,014.74/x
  3. Step 3: Cross multiply
    61,901.76x = 92,817.02 × 33,014.74
  4. Step 4: Simplify right side
    61,901.76x = 3,064,329,782.87
  5. Step 5: Solve for x
    x = 3,064,329,782.87/61,901.76
  6. Step 6: Final answer
    x = 49,503.11

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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.