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Finding the Fourth Proportional to 32,397, 48,485.77 and 19,924.93

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Solution

The fourth proportional to 32,397, 48,485.77 and 19,924.93 is: 29,819.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,397 : 48,485.77 = 19,924.93 : x
  2. Step 2: Convert to fraction form
    32,397/48,485.77 = 19,924.93/x
  3. Step 3: Cross multiply
    32,397x = 48,485.77 × 19,924.93
  4. Step 4: Simplify right side
    32,397x = 966,075,573.25
  5. Step 5: Solve for x
    x = 966,075,573.25/32,397
  6. Step 6: Final answer
    x = 29,819.91

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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.