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Finding the Fourth Proportional to 92,295.86, 127,368.32 and 49,854.38

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Solution

The fourth proportional to 92,295.86, 127,368.32 and 49,854.38 is: 68,799.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,295.86 : 127,368.32 = 49,854.38 : x
  2. Step 2: Convert to fraction form
    92,295.86/127,368.32 = 49,854.38/x
  3. Step 3: Cross multiply
    92,295.86x = 127,368.32 × 49,854.38
  4. Step 4: Simplify right side
    92,295.86x = 6,349,867,739.13
  5. Step 5: Solve for x
    x = 6,349,867,739.13/92,295.86
  6. Step 6: Final answer
    x = 68,799.06

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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.