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Finding the Fourth Proportional to 32,407.66, 48,533.73 and 18,527.50

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Solution

The fourth proportional to 32,407.66, 48,533.73 and 18,527.50 is: 27,746.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,407.66 : 48,533.73 = 18,527.50 : x
  2. Step 2: Convert to fraction form
    32,407.66/48,533.73 = 18,527.50/x
  3. Step 3: Cross multiply
    32,407.66x = 48,533.73 × 18,527.50
  4. Step 4: Simplify right side
    32,407.66x = 899,208,682.58
  5. Step 5: Solve for x
    x = 899,208,682.58/32,407.66
  6. Step 6: Final answer
    x = 27,746.79

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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.