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Finding the Fourth Proportional to 34,996, 52,518.32 and 14,219.52

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Solution

The fourth proportional to 34,996, 52,518.32 and 14,219.52 is: 21,339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,996 : 52,518.32 = 14,219.52 : x
  2. Step 2: Convert to fraction form
    34,996/52,518.32 = 14,219.52/x
  3. Step 3: Cross multiply
    34,996x = 52,518.32 × 14,219.52
  4. Step 4: Simplify right side
    34,996x = 746,785,301.61
  5. Step 5: Solve for x
    x = 746,785,301.61/34,996
  6. Step 6: Final answer
    x = 21,339.16

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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.