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Finding the Fourth Proportional to 102,486.65, 153,734.09 and 32,365.98

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Solution

The fourth proportional to 102,486.65, 153,734.09 and 32,365.98 is: 48,550.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,486.65 : 153,734.09 = 32,365.98 : x
  2. Step 2: Convert to fraction form
    102,486.65/153,734.09 = 32,365.98/x
  3. Step 3: Cross multiply
    102,486.65x = 153,734.09 × 32,365.98
  4. Step 4: Simplify right side
    102,486.65x = 4,975,754,320.43
  5. Step 5: Solve for x
    x = 4,975,754,320.43/102,486.65
  6. Step 6: Final answer
    x = 48,550.27

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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.