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Finding the Fourth Proportional to 92,214.67, 138,356.86 and 36,094.89

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Solution

The fourth proportional to 92,214.67, 138,356.86 and 36,094.89 is: 54,155.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,214.67 : 138,356.86 = 36,094.89 : x
  2. Step 2: Convert to fraction form
    92,214.67/138,356.86 = 36,094.89/x
  3. Step 3: Cross multiply
    92,214.67x = 138,356.86 × 36,094.89
  4. Step 4: Simplify right side
    92,214.67x = 4,993,975,642.45
  5. Step 5: Solve for x
    x = 4,993,975,642.45/92,214.67
  6. Step 6: Final answer
    x = 54,155.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.