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Finding the Fourth Proportional to 32,096.01, 48,148.63 and 9,911.10

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Solution

The fourth proportional to 32,096.01, 48,148.63 and 9,911.10 is: 14,868.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,096.01 : 48,148.63 = 9,911.10 : x
  2. Step 2: Convert to fraction form
    32,096.01/48,148.63 = 9,911.10/x
  3. Step 3: Cross multiply
    32,096.01x = 48,148.63 × 9,911.10
  4. Step 4: Simplify right side
    32,096.01x = 477,205,862.02
  5. Step 5: Solve for x
    x = 477,205,862.02/32,096.01
  6. Step 6: Final answer
    x = 14,868.07

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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.