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Finding the Fourth Proportional to 32,106.15, 48,164.37 and 9,914.31

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Solution

The fourth proportional to 32,106.15, 48,164.37 and 9,914.31 is: 14,873.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,106.15 : 48,164.37 = 9,914.31 : x
  2. Step 2: Convert to fraction form
    32,106.15/48,164.37 = 9,914.31/x
  3. Step 3: Cross multiply
    32,106.15x = 48,164.37 × 9,914.31
  4. Step 4: Simplify right side
    32,106.15x = 477,516,495.13
  5. Step 5: Solve for x
    x = 477,516,495.13/32,106.15
  6. Step 6: Final answer
    x = 14,873.05

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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.