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Finding the Fourth Proportional to 35,699.62, 53,564.12 and 15,698.82

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Solution

The fourth proportional to 35,699.62, 53,564.12 and 15,698.82 is: 23,554.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,699.62 : 53,564.12 = 15,698.82 : x
  2. Step 2: Convert to fraction form
    35,699.62/53,564.12 = 15,698.82/x
  3. Step 3: Cross multiply
    35,699.62x = 53,564.12 × 15,698.82
  4. Step 4: Simplify right side
    35,699.62x = 840,893,399.84
  5. Step 5: Solve for x
    x = 840,893,399.84/35,699.62
  6. Step 6: Final answer
    x = 23,554.69

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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.