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Finding the Fourth Proportional to 35,399, 53,098.50 and 14,623.04

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Solution

The fourth proportional to 35,399, 53,098.50 and 14,623.04 is: 21,934.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,399 : 53,098.50 = 14,623.04 : x
  2. Step 2: Convert to fraction form
    35,399/53,098.50 = 14,623.04/x
  3. Step 3: Cross multiply
    35,399x = 53,098.50 × 14,623.04
  4. Step 4: Simplify right side
    35,399x = 776,461,489.44
  5. Step 5: Solve for x
    x = 776,461,489.44/35,399
  6. Step 6: Final answer
    x = 21,934.56

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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.