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Finding the Fourth Proportional to 109,021.80, 163,538.10 and 56,533.80

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Solution

The fourth proportional to 109,021.80, 163,538.10 and 56,533.80 is: 84,803.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,021.80 : 163,538.10 = 56,533.80 : x
  2. Step 2: Convert to fraction form
    109,021.80/163,538.10 = 56,533.80/x
  3. Step 3: Cross multiply
    109,021.80x = 163,538.10 × 56,533.80
  4. Step 4: Simplify right side
    109,021.80x = 9,245,430,237.78
  5. Step 5: Solve for x
    x = 9,245,430,237.78/109,021.80
  6. Step 6: Final answer
    x = 84,803.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.