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Finding the Fourth Proportional to 32,989.85, 49,484.08 and 8,030.04

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Solution

The fourth proportional to 32,989.85, 49,484.08 and 8,030.04 is: 12,044.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,989.85 : 49,484.08 = 8,030.04 : x
  2. Step 2: Convert to fraction form
    32,989.85/49,484.08 = 8,030.04/x
  3. Step 3: Cross multiply
    32,989.85x = 49,484.08 × 8,030.04
  4. Step 4: Simplify right side
    32,989.85x = 397,358,894.34
  5. Step 5: Solve for x
    x = 397,358,894.34/32,989.85
  6. Step 6: Final answer
    x = 12,044.88

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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.