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Finding the Fourth Proportional to 89,628.48, 123,682.80 and 49,341.20

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Solution

The fourth proportional to 89,628.48, 123,682.80 and 49,341.20 is: 68,088.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,628.48 : 123,682.80 = 49,341.20 : x
  2. Step 2: Convert to fraction form
    89,628.48/123,682.80 = 49,341.20/x
  3. Step 3: Cross multiply
    89,628.48x = 123,682.80 × 49,341.20
  4. Step 4: Simplify right side
    89,628.48x = 6,102,657,771.36
  5. Step 5: Solve for x
    x = 6,102,657,771.36/89,628.48
  6. Step 6: Final answer
    x = 68,088.38

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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.