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Finding the Fourth Proportional to 85,329.72, 128,051.71 and 35,409.86

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Solution

The fourth proportional to 85,329.72, 128,051.71 and 35,409.86 is: 53,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,329.72 : 128,051.71 = 35,409.86 : x
  2. Step 2: Convert to fraction form
    85,329.72/128,051.71 = 35,409.86/x
  3. Step 3: Cross multiply
    85,329.72x = 128,051.71 × 35,409.86
  4. Step 4: Simplify right side
    85,329.72x = 4,534,293,355.47
  5. Step 5: Solve for x
    x = 4,534,293,355.47/85,329.72
  6. Step 6: Final answer
    x = 53,138.50

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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.