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Finding the Fourth Proportional to 92,386.98, 127,494 and 49,945.50

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Solution

The fourth proportional to 92,386.98, 127,494 and 49,945.50 is: 68,924.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,386.98 : 127,494 = 49,945.50 : x
  2. Step 2: Convert to fraction form
    92,386.98/127,494 = 49,945.50/x
  3. Step 3: Cross multiply
    92,386.98x = 127,494 × 49,945.50
  4. Step 4: Simplify right side
    92,386.98x = 6,367,751,577
  5. Step 5: Solve for x
    x = 6,367,751,577/92,386.98
  6. Step 6: Final answer
    x = 68,924.77

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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.