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Finding the Fourth Proportional to 93,820.54, 140,739.46 and 30,641.00

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Solution

The fourth proportional to 93,820.54, 140,739.46 and 30,641.00 is: 45,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,820.54 : 140,739.46 = 30,641.00 : x
  2. Step 2: Convert to fraction form
    93,820.54/140,739.46 = 30,641.00/x
  3. Step 3: Cross multiply
    93,820.54x = 140,739.46 × 30,641.00
  4. Step 4: Simplify right side
    93,820.54x = 4,312,397,340.74
  5. Step 5: Solve for x
    x = 4,312,397,340.74/93,820.54
  6. Step 6: Final answer
    x = 45,964.32

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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.