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Finding the Fourth Proportional to 78,349.16, 117,509.85 and 35,644.67

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Solution

The fourth proportional to 78,349.16, 117,509.85 and 35,644.67 is: 53,460.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,349.16 : 117,509.85 = 35,644.67 : x
  2. Step 2: Convert to fraction form
    78,349.16/117,509.85 = 35,644.67/x
  3. Step 3: Cross multiply
    78,349.16x = 117,509.85 × 35,644.67
  4. Step 4: Simplify right side
    78,349.16x = 4,188,599,825.00
  5. Step 5: Solve for x
    x = 4,188,599,825.00/78,349.16
  6. Step 6: Final answer
    x = 53,460.69

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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.