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Finding the Fourth Proportional to 83,475, 125,212.50 and 28,071

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Solution

The fourth proportional to 83,475, 125,212.50 and 28,071 is: 42,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,475 : 125,212.50 = 28,071 : x
  2. Step 2: Convert to fraction form
    83,475/125,212.50 = 28,071/x
  3. Step 3: Cross multiply
    83,475x = 125,212.50 × 28,071
  4. Step 4: Simplify right side
    83,475x = 3,514,840,087.50
  5. Step 5: Solve for x
    x = 3,514,840,087.50/83,475
  6. Step 6: Final answer
    x = 42,106.50

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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.