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Finding the Fourth Proportional to 102,653.37, 153,983.30 and 32,533.29

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Solution

The fourth proportional to 102,653.37, 153,983.30 and 32,533.29 is: 48,800.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,653.37 : 153,983.30 = 32,533.29 : x
  2. Step 2: Convert to fraction form
    102,653.37/153,983.30 = 32,533.29/x
  3. Step 3: Cross multiply
    102,653.37x = 153,983.30 × 32,533.29
  4. Step 4: Simplify right side
    102,653.37x = 5,009,583,191.39
  5. Step 5: Solve for x
    x = 5,009,583,191.39/102,653.37
  6. Step 6: Final answer
    x = 48,800.96

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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.