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Finding the Fourth Proportional to 32,430.27, 48,645.54 and 9,056.64

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Solution

The fourth proportional to 32,430.27, 48,645.54 and 9,056.64 is: 13,585.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,430.27 : 48,645.54 = 9,056.64 : x
  2. Step 2: Convert to fraction form
    32,430.27/48,645.54 = 9,056.64/x
  3. Step 3: Cross multiply
    32,430.27x = 48,645.54 × 9,056.64
  4. Step 4: Simplify right side
    32,430.27x = 440,565,143.39
  5. Step 5: Solve for x
    x = 440,565,143.39/32,430.27
  6. Step 6: Final answer
    x = 13,585.00

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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.