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Finding the Fourth Proportional to 78,657.12, 117,887.13 and 61,951.14

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Solution

The fourth proportional to 78,657.12, 117,887.13 and 61,951.14 is: 92,849.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,657.12 : 117,887.13 = 61,951.14 : x
  2. Step 2: Convert to fraction form
    78,657.12/117,887.13 = 61,951.14/x
  3. Step 3: Cross multiply
    78,657.12x = 117,887.13 × 61,951.14
  4. Step 4: Simplify right side
    78,657.12x = 7,303,242,094.83
  5. Step 5: Solve for x
    x = 7,303,242,094.83/78,657.12
  6. Step 6: Final answer
    x = 92,849.09

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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.