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Finding the Fourth Proportional to 92,210.86, 127,263.11 and 51,932.50

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Solution

The fourth proportional to 92,210.86, 127,263.11 and 51,932.50 is: 71,673.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,210.86 : 127,263.11 = 51,932.50 : x
  2. Step 2: Convert to fraction form
    92,210.86/127,263.11 = 51,932.50/x
  3. Step 3: Cross multiply
    92,210.86x = 127,263.11 × 51,932.50
  4. Step 4: Simplify right side
    92,210.86x = 6,609,091,460.08
  5. Step 5: Solve for x
    x = 6,609,091,460.08/92,210.86
  6. Step 6: Final answer
    x = 71,673.68

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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.