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Finding the Fourth Proportional to 97,665.48, 134,785.05 and 54,649.05

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Solution

The fourth proportional to 97,665.48, 134,785.05 and 54,649.05 is: 75,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,665.48 : 134,785.05 = 54,649.05 : x
  2. Step 2: Convert to fraction form
    97,665.48/134,785.05 = 54,649.05/x
  3. Step 3: Cross multiply
    97,665.48x = 134,785.05 × 54,649.05
  4. Step 4: Simplify right side
    97,665.48x = 7,365,875,363.57
  5. Step 5: Solve for x
    x = 7,365,875,363.57/97,665.48
  6. Step 6: Final answer
    x = 75,419.44

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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.