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Finding the Fourth Proportional to 32,218.59, 48,270.71 and 13,457.35

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Solution

The fourth proportional to 32,218.59, 48,270.71 and 13,457.35 is: 20,162.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,218.59 : 48,270.71 = 13,457.35 : x
  2. Step 2: Convert to fraction form
    32,218.59/48,270.71 = 13,457.35/x
  3. Step 3: Cross multiply
    32,218.59x = 48,270.71 × 13,457.35
  4. Step 4: Simplify right side
    32,218.59x = 649,595,752.19
  5. Step 5: Solve for x
    x = 649,595,752.19/32,218.59
  6. Step 6: Final answer
    x = 20,162.14

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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.