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Finding the Fourth Proportional to 32,412.38, 48,585.26 and 12,417.18

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Solution

The fourth proportional to 32,412.38, 48,585.26 and 12,417.18 is: 18,613.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412.38 : 48,585.26 = 12,417.18 : x
  2. Step 2: Convert to fraction form
    32,412.38/48,585.26 = 12,417.18/x
  3. Step 3: Cross multiply
    32,412.38x = 48,585.26 × 12,417.18
  4. Step 4: Simplify right side
    32,412.38x = 603,291,856.68
  5. Step 5: Solve for x
    x = 603,291,856.68/32,412.38
  6. Step 6: Final answer
    x = 18,613.01

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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.