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Finding the Fourth Proportional to 32,286.77, 48,430.15 and 14,776.19

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Solution

The fourth proportional to 32,286.77, 48,430.15 and 14,776.19 is: 22,164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,286.77 : 48,430.15 = 14,776.19 : x
  2. Step 2: Convert to fraction form
    32,286.77/48,430.15 = 14,776.19/x
  3. Step 3: Cross multiply
    32,286.77x = 48,430.15 × 14,776.19
  4. Step 4: Simplify right side
    32,286.77x = 715,613,098.13
  5. Step 5: Solve for x
    x = 715,613,098.13/32,286.77
  6. Step 6: Final answer
    x = 22,164.28

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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.