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Finding the Fourth Proportional to 32,094.81, 48,124.59 and 9,902.04

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Solution

The fourth proportional to 32,094.81, 48,124.59 and 9,902.04 is: 14,847.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,094.81 : 48,124.59 = 9,902.04 : x
  2. Step 2: Convert to fraction form
    32,094.81/48,124.59 = 9,902.04/x
  3. Step 3: Cross multiply
    32,094.81x = 48,124.59 × 9,902.04
  4. Step 4: Simplify right side
    32,094.81x = 476,531,615.16
  5. Step 5: Solve for x
    x = 476,531,615.16/32,094.81
  6. Step 6: Final answer
    x = 14,847.62

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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.