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Finding the Fourth Proportional to 78,430.92, 117,644.54 and 19,266.50

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Solution

The fourth proportional to 78,430.92, 117,644.54 and 19,266.50 is: 28,899.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,430.92 : 117,644.54 = 19,266.50 : x
  2. Step 2: Convert to fraction form
    78,430.92/117,644.54 = 19,266.50/x
  3. Step 3: Cross multiply
    78,430.92x = 117,644.54 × 19,266.50
  4. Step 4: Simplify right side
    78,430.92x = 2,266,597,845.35
  5. Step 5: Solve for x
    x = 2,266,597,845.35/78,430.92
  6. Step 6: Final answer
    x = 28,899.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.