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Finding the Fourth Proportional to 32,477.18, 48,710.27 and 9,098.24

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Solution

The fourth proportional to 32,477.18, 48,710.27 and 9,098.24 is: 13,645.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,477.18 : 48,710.27 = 9,098.24 : x
  2. Step 2: Convert to fraction form
    32,477.18/48,710.27 = 9,098.24/x
  3. Step 3: Cross multiply
    32,477.18x = 48,710.27 × 9,098.24
  4. Step 4: Simplify right side
    32,477.18x = 443,177,483.37
  5. Step 5: Solve for x
    x = 443,177,483.37/32,477.18
  6. Step 6: Final answer
    x = 13,645.81

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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.