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Finding the Fourth Proportional to 76,071.50, 114,061.67 and 36,100.43

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Solution

The fourth proportional to 76,071.50, 114,061.67 and 36,100.43 is: 54,129.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,071.50 : 114,061.67 = 36,100.43 : x
  2. Step 2: Convert to fraction form
    76,071.50/114,061.67 = 36,100.43/x
  3. Step 3: Cross multiply
    76,071.50x = 114,061.67 × 36,100.43
  4. Step 4: Simplify right side
    76,071.50x = 4,117,674,763.21
  5. Step 5: Solve for x
    x = 4,117,674,763.21/76,071.50
  6. Step 6: Final answer
    x = 54,129.01

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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.