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Finding the Fourth Proportional to 64,051.24, 95,961.84 and 39,078.40

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Solution

The fourth proportional to 64,051.24, 95,961.84 and 39,078.40 is: 58,547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,051.24 : 95,961.84 = 39,078.40 : x
  2. Step 2: Convert to fraction form
    64,051.24/95,961.84 = 39,078.40/x
  3. Step 3: Cross multiply
    64,051.24x = 95,961.84 × 39,078.40
  4. Step 4: Simplify right side
    64,051.24x = 3,750,035,168.26
  5. Step 5: Solve for x
    x = 3,750,035,168.26/64,051.24
  6. Step 6: Final answer
    x = 58,547.42

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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.