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Finding the Fourth Proportional to 32,509.76, 48,829.44 and 30,675.84

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Solution

The fourth proportional to 32,509.76, 48,829.44 and 30,675.84 is: 46,074.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,509.76 : 48,829.44 = 30,675.84 : x
  2. Step 2: Convert to fraction form
    32,509.76/48,829.44 = 30,675.84/x
  3. Step 3: Cross multiply
    32,509.76x = 48,829.44 × 30,675.84
  4. Step 4: Simplify right side
    32,509.76x = 1,497,884,088.73
  5. Step 5: Solve for x
    x = 1,497,884,088.73/32,509.76
  6. Step 6: Final answer
    x = 46,074.90

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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.