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Finding the Fourth Proportional to 85,873.86, 128,699.91 and 38,454.30

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Solution

The fourth proportional to 85,873.86, 128,699.91 and 38,454.30 is: 57,631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,873.86 : 128,699.91 = 38,454.30 : x
  2. Step 2: Convert to fraction form
    85,873.86/128,699.91 = 38,454.30/x
  3. Step 3: Cross multiply
    85,873.86x = 128,699.91 × 38,454.30
  4. Step 4: Simplify right side
    85,873.86x = 4,949,064,949.11
  5. Step 5: Solve for x
    x = 4,949,064,949.11/85,873.86
  6. Step 6: Final answer
    x = 57,631.80

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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.