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Finding the Fourth Proportional to 92,253, 138,379.50 and 29,923.50

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Solution

The fourth proportional to 92,253, 138,379.50 and 29,923.50 is: 44,885.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,253 : 138,379.50 = 29,923.50 : x
  2. Step 2: Convert to fraction form
    92,253/138,379.50 = 29,923.50/x
  3. Step 3: Cross multiply
    92,253x = 138,379.50 × 29,923.50
  4. Step 4: Simplify right side
    92,253x = 4,140,798,968.25
  5. Step 5: Solve for x
    x = 4,140,798,968.25/92,253
  6. Step 6: Final answer
    x = 44,885.25

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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.