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Finding the Fourth Proportional to 58,097, 87,143.56 and 16,544

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Solution

The fourth proportional to 58,097, 87,143.56 and 16,544 is: 24,815.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,097 : 87,143.56 = 16,544 : x
  2. Step 2: Convert to fraction form
    58,097/87,143.56 = 16,544/x
  3. Step 3: Cross multiply
    58,097x = 87,143.56 × 16,544
  4. Step 4: Simplify right side
    58,097x = 1,441,703,056.64
  5. Step 5: Solve for x
    x = 1,441,703,056.64/58,097
  6. Step 6: Final answer
    x = 24,815.45

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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.