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Finding the Fourth Proportional to 98,533.97, 135,977.03 and 56,092.50

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Solution

The fourth proportional to 98,533.97, 135,977.03 and 56,092.50 is: 77,407.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,533.97 : 135,977.03 = 56,092.50 : x
  2. Step 2: Convert to fraction form
    98,533.97/135,977.03 = 56,092.50/x
  3. Step 3: Cross multiply
    98,533.97x = 135,977.03 × 56,092.50
  4. Step 4: Simplify right side
    98,533.97x = 7,627,291,485.16
  5. Step 5: Solve for x
    x = 7,627,291,485.16/98,533.97
  6. Step 6: Final answer
    x = 77,407.74

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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.