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Finding the Fourth Proportional to 85,641.60, 128,567.70 and 54,051.60

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Solution

The fourth proportional to 85,641.60, 128,567.70 and 54,051.60 is: 81,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,641.60 : 128,567.70 = 54,051.60 : x
  2. Step 2: Convert to fraction form
    85,641.60/128,567.70 = 54,051.60/x
  3. Step 3: Cross multiply
    85,641.60x = 128,567.70 × 54,051.60
  4. Step 4: Simplify right side
    85,641.60x = 6,949,289,893.32
  5. Step 5: Solve for x
    x = 6,949,289,893.32/85,641.60
  6. Step 6: Final answer
    x = 81,143.86

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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.