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Finding the Fourth Proportional to 43,130.86, 64,695.68 and 13,550.46

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Solution

The fourth proportional to 43,130.86, 64,695.68 and 13,550.46 is: 20,325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,130.86 : 64,695.68 = 13,550.46 : x
  2. Step 2: Convert to fraction form
    43,130.86/64,695.68 = 13,550.46/x
  3. Step 3: Cross multiply
    43,130.86x = 64,695.68 × 13,550.46
  4. Step 4: Simplify right side
    43,130.86x = 876,656,224.01
  5. Step 5: Solve for x
    x = 876,656,224.01/43,130.86
  6. Step 6: Final answer
    x = 20,325.50

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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.