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Finding the Fourth Proportional to 52,106.99, 71,907.43 and 28,233.76

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Solution

The fourth proportional to 52,106.99, 71,907.43 and 28,233.76 is: 38,962.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,106.99 : 71,907.43 = 28,233.76 : x
  2. Step 2: Convert to fraction form
    52,106.99/71,907.43 = 28,233.76/x
  3. Step 3: Cross multiply
    52,106.99x = 71,907.43 × 28,233.76
  4. Step 4: Simplify right side
    52,106.99x = 2,030,216,979.67
  5. Step 5: Solve for x
    x = 2,030,216,979.67/52,106.99
  6. Step 6: Final answer
    x = 38,962.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.