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Finding the Fourth Proportional to 78,577.50, 117,708.57 and 39,014.94

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Solution

The fourth proportional to 78,577.50, 117,708.57 and 39,014.94 is: 58,444.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,577.50 : 117,708.57 = 39,014.94 : x
  2. Step 2: Convert to fraction form
    78,577.50/117,708.57 = 39,014.94/x
  3. Step 3: Cross multiply
    78,577.50x = 117,708.57 × 39,014.94
  4. Step 4: Simplify right side
    78,577.50x = 4,592,392,796.04
  5. Step 5: Solve for x
    x = 4,592,392,796.04/78,577.50
  6. Step 6: Final answer
    x = 58,444.12

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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.