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Finding the Fourth Proportional to 114,051.61, 171,066.42 and 35,144.65

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Solution

The fourth proportional to 114,051.61, 171,066.42 and 35,144.65 is: 52,713.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,051.61 : 171,066.42 = 35,144.65 : x
  2. Step 2: Convert to fraction form
    114,051.61/171,066.42 = 35,144.65/x
  3. Step 3: Cross multiply
    114,051.61x = 171,066.42 × 35,144.65
  4. Step 4: Simplify right side
    114,051.61x = 6,012,069,457.65
  5. Step 5: Solve for x
    x = 6,012,069,457.65/114,051.61
  6. Step 6: Final answer
    x = 52,713.59

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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.