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Finding the Fourth Proportional to 32,045.78, 48,013.46 and 22,670.38

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Solution

The fourth proportional to 32,045.78, 48,013.46 and 22,670.38 is: 33,966.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,045.78 : 48,013.46 = 22,670.38 : x
  2. Step 2: Convert to fraction form
    32,045.78/48,013.46 = 22,670.38/x
  3. Step 3: Cross multiply
    32,045.78x = 48,013.46 × 22,670.38
  4. Step 4: Simplify right side
    32,045.78x = 1,088,483,414.99
  5. Step 5: Solve for x
    x = 1,088,483,414.99/32,045.78
  6. Step 6: Final answer
    x = 33,966.52

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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.