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Finding the Fourth Proportional to 35,802.64, 53,704.50 and 12,429.82

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Solution

The fourth proportional to 35,802.64, 53,704.50 and 12,429.82 is: 18,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,802.64 : 53,704.50 = 12,429.82 : x
  2. Step 2: Convert to fraction form
    35,802.64/53,704.50 = 12,429.82/x
  3. Step 3: Cross multiply
    35,802.64x = 53,704.50 × 12,429.82
  4. Step 4: Simplify right side
    35,802.64x = 667,537,268.19
  5. Step 5: Solve for x
    x = 667,537,268.19/35,802.64
  6. Step 6: Final answer
    x = 18,644.92

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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.