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Finding the Fourth Proportional to 78,001.35, 117,019.49 and 24,696.50

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Solution

The fourth proportional to 78,001.35, 117,019.49 and 24,696.50 is: 37,050.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,001.35 : 117,019.49 = 24,696.50 : x
  2. Step 2: Convert to fraction form
    78,001.35/117,019.49 = 24,696.50/x
  3. Step 3: Cross multiply
    78,001.35x = 117,019.49 × 24,696.50
  4. Step 4: Simplify right side
    78,001.35x = 2,889,971,126.21
  5. Step 5: Solve for x
    x = 2,889,971,126.21/78,001.35
  6. Step 6: Final answer
    x = 37,050.27

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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.