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Finding the Fourth Proportional to 32,596.50, 48,894.81 and 11,820.06

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Solution

The fourth proportional to 32,596.50, 48,894.81 and 11,820.06 is: 17,730.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,596.50 : 48,894.81 = 11,820.06 : x
  2. Step 2: Convert to fraction form
    32,596.50/48,894.81 = 11,820.06/x
  3. Step 3: Cross multiply
    32,596.50x = 48,894.81 × 11,820.06
  4. Step 4: Simplify right side
    32,596.50x = 577,939,587.89
  5. Step 5: Solve for x
    x = 577,939,587.89/32,596.50
  6. Step 6: Final answer
    x = 17,730.11

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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.