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Finding the Fourth Proportional to 114,861.74, 172,292.47 and 35,982.11

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Solution

The fourth proportional to 114,861.74, 172,292.47 and 35,982.11 is: 53,973.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,861.74 : 172,292.47 = 35,982.11 : x
  2. Step 2: Convert to fraction form
    114,861.74/172,292.47 = 35,982.11/x
  3. Step 3: Cross multiply
    114,861.74x = 172,292.47 × 35,982.11
  4. Step 4: Simplify right side
    114,861.74x = 6,199,445,656.29
  5. Step 5: Solve for x
    x = 6,199,445,656.29/114,861.74
  6. Step 6: Final answer
    x = 53,973.12

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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.