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Finding the Fourth Proportional to 35,820, 53,730.24 and 11,196

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Solution

The fourth proportional to 35,820, 53,730.24 and 11,196 is: 16,794.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,820 : 53,730.24 = 11,196 : x
  2. Step 2: Convert to fraction form
    35,820/53,730.24 = 11,196/x
  3. Step 3: Cross multiply
    35,820x = 53,730.24 × 11,196
  4. Step 4: Simplify right side
    35,820x = 601,563,767.04
  5. Step 5: Solve for x
    x = 601,563,767.04/35,820
  6. Step 6: Final answer
    x = 16,794.08

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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.