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Finding the Fourth Proportional to 78,519, 117,804.42 and 31,746.36

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Solution

The fourth proportional to 78,519, 117,804.42 and 31,746.36 is: 47,630.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,519 : 117,804.42 = 31,746.36 : x
  2. Step 2: Convert to fraction form
    78,519/117,804.42 = 31,746.36/x
  3. Step 3: Cross multiply
    78,519x = 117,804.42 × 31,746.36
  4. Step 4: Simplify right side
    78,519x = 3,739,861,526.91
  5. Step 5: Solve for x
    x = 3,739,861,526.91/78,519
  6. Step 6: Final answer
    x = 47,630.02

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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.