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Finding the Fourth Proportional to 102,657.50, 153,986.24 and 32,536.81

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Solution

The fourth proportional to 102,657.50, 153,986.24 and 32,536.81 is: 48,805.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,657.50 : 153,986.24 = 32,536.81 : x
  2. Step 2: Convert to fraction form
    102,657.50/153,986.24 = 32,536.81/x
  3. Step 3: Cross multiply
    102,657.50x = 153,986.24 × 32,536.81
  4. Step 4: Simplify right side
    102,657.50x = 5,010,220,485.84
  5. Step 5: Solve for x
    x = 5,010,220,485.84/102,657.50
  6. Step 6: Final answer
    x = 48,805.21

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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.