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Finding the Fourth Proportional to 175,985.52, 264,015.60 and 57,648

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Solution

The fourth proportional to 175,985.52, 264,015.60 and 57,648 is: 86,484.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,985.52 : 264,015.60 = 57,648 : x
  2. Step 2: Convert to fraction form
    175,985.52/264,015.60 = 57,648/x
  3. Step 3: Cross multiply
    175,985.52x = 264,015.60 × 57,648
  4. Step 4: Simplify right side
    175,985.52x = 15,219,971,308.80
  5. Step 5: Solve for x
    x = 15,219,971,308.80/175,985.52
  6. Step 6: Final answer
    x = 86,484.23

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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.