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Finding the Fourth Proportional to 102,673.80, 153,995.31 and 32,544

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Solution

The fourth proportional to 102,673.80, 153,995.31 and 32,544 is: 48,811.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,673.80 : 153,995.31 = 32,544 : x
  2. Step 2: Convert to fraction form
    102,673.80/153,995.31 = 32,544/x
  3. Step 3: Cross multiply
    102,673.80x = 153,995.31 × 32,544
  4. Step 4: Simplify right side
    102,673.80x = 5,011,623,368.64
  5. Step 5: Solve for x
    x = 5,011,623,368.64/102,673.80
  6. Step 6: Final answer
    x = 48,811.12

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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.