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Finding the Fourth Proportional to 52,050.99, 71,830.60 and 28,177.66

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Solution

The fourth proportional to 52,050.99, 71,830.60 and 28,177.66 is: 38,885.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,050.99 : 71,830.60 = 28,177.66 : x
  2. Step 2: Convert to fraction form
    52,050.99/71,830.60 = 28,177.66/x
  3. Step 3: Cross multiply
    52,050.99x = 71,830.60 × 28,177.66
  4. Step 4: Simplify right side
    52,050.99x = 2,024,018,298.31
  5. Step 5: Solve for x
    x = 2,024,018,298.31/52,050.99
  6. Step 6: Final answer
    x = 38,885.30

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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.