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Finding the Fourth Proportional to 56,852.88, 85,308.12 and 38,346

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Solution

The fourth proportional to 56,852.88, 85,308.12 and 38,346 is: 57,538.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,852.88 : 85,308.12 = 38,346 : x
  2. Step 2: Convert to fraction form
    56,852.88/85,308.12 = 38,346/x
  3. Step 3: Cross multiply
    56,852.88x = 85,308.12 × 38,346
  4. Step 4: Simplify right side
    56,852.88x = 3,271,225,169.52
  5. Step 5: Solve for x
    x = 3,271,225,169.52/56,852.88
  6. Step 6: Final answer
    x = 57,538.42

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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.