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Finding the Fourth Proportional to 34,506.50, 47,612.60 and 19,397.16

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Solution

The fourth proportional to 34,506.50, 47,612.60 and 19,397.16 is: 26,764.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,506.50 : 47,612.60 = 19,397.16 : x
  2. Step 2: Convert to fraction form
    34,506.50/47,612.60 = 19,397.16/x
  3. Step 3: Cross multiply
    34,506.50x = 47,612.60 × 19,397.16
  4. Step 4: Simplify right side
    34,506.50x = 923,549,220.22
  5. Step 5: Solve for x
    x = 923,549,220.22/34,506.50
  6. Step 6: Final answer
    x = 26,764.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.