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Finding the Fourth Proportional to 32,034.89, 48,053.60 and 12,042.36

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Solution

The fourth proportional to 32,034.89, 48,053.60 and 12,042.36 is: 18,064.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,034.89 : 48,053.60 = 12,042.36 : x
  2. Step 2: Convert to fraction form
    32,034.89/48,053.60 = 12,042.36/x
  3. Step 3: Cross multiply
    32,034.89x = 48,053.60 × 12,042.36
  4. Step 4: Simplify right side
    32,034.89x = 578,678,750.50
  5. Step 5: Solve for x
    x = 578,678,750.50/32,034.89
  6. Step 6: Final answer
    x = 18,064.02

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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.