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Finding the Fourth Proportional to 78,024.50, 117,009.07 and 28,091.19

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Solution

The fourth proportional to 78,024.50, 117,009.07 and 28,091.19 is: 42,126.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,024.50 : 117,009.07 = 28,091.19 : x
  2. Step 2: Convert to fraction form
    78,024.50/117,009.07 = 28,091.19/x
  3. Step 3: Cross multiply
    78,024.50x = 117,009.07 × 28,091.19
  4. Step 4: Simplify right side
    78,024.50x = 3,286,924,017.09
  5. Step 5: Solve for x
    x = 3,286,924,017.09/78,024.50
  6. Step 6: Final answer
    x = 42,126.82

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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.