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Finding the Fourth Proportional to 77,239.50, 106,592.14 and 43,705.50

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Solution

The fourth proportional to 77,239.50, 106,592.14 and 43,705.50 is: 60,314.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,239.50 : 106,592.14 = 43,705.50 : x
  2. Step 2: Convert to fraction form
    77,239.50/106,592.14 = 43,705.50/x
  3. Step 3: Cross multiply
    77,239.50x = 106,592.14 × 43,705.50
  4. Step 4: Simplify right side
    77,239.50x = 4,658,662,774.77
  5. Step 5: Solve for x
    x = 4,658,662,774.77/77,239.50
  6. Step 6: Final answer
    x = 60,314.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.