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Finding the Fourth Proportional to 92,887.48, 128,184.72 and 50,446

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Solution

The fourth proportional to 92,887.48, 128,184.72 and 50,446 is: 69,615.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,887.48 : 128,184.72 = 50,446 : x
  2. Step 2: Convert to fraction form
    92,887.48/128,184.72 = 50,446/x
  3. Step 3: Cross multiply
    92,887.48x = 128,184.72 × 50,446
  4. Step 4: Simplify right side
    92,887.48x = 6,466,406,385.12
  5. Step 5: Solve for x
    x = 6,466,406,385.12/92,887.48
  6. Step 6: Final answer
    x = 69,615.48

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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.