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Finding the Fourth Proportional to 97,887.54, 135,094.23 and 54,866.82

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Solution

The fourth proportional to 97,887.54, 135,094.23 and 54,866.82 is: 75,721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,887.54 : 135,094.23 = 54,866.82 : x
  2. Step 2: Convert to fraction form
    97,887.54/135,094.23 = 54,866.82/x
  3. Step 3: Cross multiply
    97,887.54x = 135,094.23 × 54,866.82
  4. Step 4: Simplify right side
    97,887.54x = 7,412,190,800.45
  5. Step 5: Solve for x
    x = 7,412,190,800.45/97,887.54
  6. Step 6: Final answer
    x = 75,721.49

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1.5x scale

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.