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Finding the Fourth Proportional to 34,998, 52,521.32 and 14,221.52

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Solution

The fourth proportional to 34,998, 52,521.32 and 14,221.52 is: 21,342.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,998 : 52,521.32 = 14,221.52 : x
  2. Step 2: Convert to fraction form
    34,998/52,521.32 = 14,221.52/x
  3. Step 3: Cross multiply
    34,998x = 52,521.32 × 14,221.52
  4. Step 4: Simplify right side
    34,998x = 746,933,002.81
  5. Step 5: Solve for x
    x = 746,933,002.81/34,998
  6. Step 6: Final answer
    x = 21,342.16

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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.