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Finding the Fourth Proportional to 102,466.63, 153,710.19 and 31,388.44

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Solution

The fourth proportional to 102,466.63, 153,710.19 and 31,388.44 is: 47,085.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,466.63 : 153,710.19 = 31,388.44 : x
  2. Step 2: Convert to fraction form
    102,466.63/153,710.19 = 31,388.44/x
  3. Step 3: Cross multiply
    102,466.63x = 153,710.19 × 31,388.44
  4. Step 4: Simplify right side
    102,466.63x = 4,824,723,076.20
  5. Step 5: Solve for x
    x = 4,824,723,076.20/102,466.63
  6. Step 6: Final answer
    x = 47,085.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.