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Finding the Fourth Proportional to 32,114.54, 48,176.44 and 9,929.66

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Solution

The fourth proportional to 32,114.54, 48,176.44 and 9,929.66 is: 14,895.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,114.54 : 48,176.44 = 9,929.66 : x
  2. Step 2: Convert to fraction form
    32,114.54/48,176.44 = 9,929.66/x
  3. Step 3: Cross multiply
    32,114.54x = 48,176.44 × 9,929.66
  4. Step 4: Simplify right side
    32,114.54x = 478,375,403.50
  5. Step 5: Solve for x
    x = 478,375,403.50/32,114.54
  6. Step 6: Final answer
    x = 14,895.91

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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.