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Finding the Fourth Proportional to 96,543.60, 144,750.60 and 46,647.60

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Solution

The fourth proportional to 96,543.60, 144,750.60 and 46,647.60 is: 69,940.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,543.60 : 144,750.60 = 46,647.60 : x
  2. Step 2: Convert to fraction form
    96,543.60/144,750.60 = 46,647.60/x
  3. Step 3: Cross multiply
    96,543.60x = 144,750.60 × 46,647.60
  4. Step 4: Simplify right side
    96,543.60x = 6,752,268,088.56
  5. Step 5: Solve for x
    x = 6,752,268,088.56/96,543.60
  6. Step 6: Final answer
    x = 69,940.09

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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.