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Finding the Fourth Proportional to 92,557, 127,745.94 and 52,813

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Solution

The fourth proportional to 92,557, 127,745.94 and 52,813 is: 72,891.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,557 : 127,745.94 = 52,813 : x
  2. Step 2: Convert to fraction form
    92,557/127,745.94 = 52,813/x
  3. Step 3: Cross multiply
    92,557x = 127,745.94 × 52,813
  4. Step 4: Simplify right side
    92,557x = 6,746,646,329.22
  5. Step 5: Solve for x
    x = 6,746,646,329.22/92,557
  6. Step 6: Final answer
    x = 72,891.80

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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.