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Finding the Fourth Proportional to 78,433, 117,583.35 and 34,026.34

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Solution

The fourth proportional to 78,433, 117,583.35 and 34,026.34 is: 51,010.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,433 : 117,583.35 = 34,026.34 : x
  2. Step 2: Convert to fraction form
    78,433/117,583.35 = 34,026.34/x
  3. Step 3: Cross multiply
    78,433x = 117,583.35 × 34,026.34
  4. Step 4: Simplify right side
    78,433x = 4,000,931,045.44
  5. Step 5: Solve for x
    x = 4,000,931,045.44/78,433
  6. Step 6: Final answer
    x = 51,010.81

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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.