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Finding the Fourth Proportional to 92,254.86, 138,401.73 and 29,920.50

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Solution

The fourth proportional to 92,254.86, 138,401.73 and 29,920.50 is: 44,887.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,254.86 : 138,401.73 = 29,920.50 : x
  2. Step 2: Convert to fraction form
    92,254.86/138,401.73 = 29,920.50/x
  3. Step 3: Cross multiply
    92,254.86x = 138,401.73 × 29,920.50
  4. Step 4: Simplify right side
    92,254.86x = 4,141,048,962.47
  5. Step 5: Solve for x
    x = 4,141,048,962.47/92,254.86
  6. Step 6: Final answer
    x = 44,887.05

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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.