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Finding the Fourth Proportional to 76,582.56, 105,682.80 and 43,048.32

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Solution

The fourth proportional to 76,582.56, 105,682.80 and 43,048.32 is: 59,406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,582.56 : 105,682.80 = 43,048.32 : x
  2. Step 2: Convert to fraction form
    76,582.56/105,682.80 = 43,048.32/x
  3. Step 3: Cross multiply
    76,582.56x = 105,682.80 × 43,048.32
  4. Step 4: Simplify right side
    76,582.56x = 4,549,466,992.90
  5. Step 5: Solve for x
    x = 4,549,466,992.90/76,582.56
  6. Step 6: Final answer
    x = 59,406.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.