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Finding the Fourth Proportional to 32,060.91, 48,096.63 and 9,873.81

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Solution

The fourth proportional to 32,060.91, 48,096.63 and 9,873.81 is: 14,812.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,060.91 : 48,096.63 = 9,873.81 : x
  2. Step 2: Convert to fraction form
    32,060.91/48,096.63 = 9,873.81/x
  3. Step 3: Cross multiply
    32,060.91x = 48,096.63 × 9,873.81
  4. Step 4: Simplify right side
    32,060.91x = 474,896,986.26
  5. Step 5: Solve for x
    x = 474,896,986.26/32,060.91
  6. Step 6: Final answer
    x = 14,812.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.