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Finding the Fourth Proportional to 32,192.58, 48,289.26 and 10,005.45

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Solution

The fourth proportional to 32,192.58, 48,289.26 and 10,005.45 is: 15,008.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,192.58 : 48,289.26 = 10,005.45 : x
  2. Step 2: Convert to fraction form
    32,192.58/48,289.26 = 10,005.45/x
  3. Step 3: Cross multiply
    32,192.58x = 48,289.26 × 10,005.45
  4. Step 4: Simplify right side
    32,192.58x = 483,155,776.47
  5. Step 5: Solve for x
    x = 483,155,776.47/32,192.58
  6. Step 6: Final answer
    x = 15,008.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.