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Finding the Fourth Proportional to 92,702.46, 127,928.34 and 52,416.66

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Solution

The fourth proportional to 92,702.46, 127,928.34 and 52,416.66 is: 72,334.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,702.46 : 127,928.34 = 52,416.66 : x
  2. Step 2: Convert to fraction form
    92,702.46/127,928.34 = 52,416.66/x
  3. Step 3: Cross multiply
    92,702.46x = 127,928.34 × 52,416.66
  4. Step 4: Simplify right side
    92,702.46x = 6,705,576,302.14
  5. Step 5: Solve for x
    x = 6,705,576,302.14/92,702.46
  6. Step 6: Final answer
    x = 72,334.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.