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Finding the Fourth Proportional to 56,414.30, 77,849.02 and 32,548.66

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Solution

The fourth proportional to 56,414.30, 77,849.02 and 32,548.66 is: 44,915.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,414.30 : 77,849.02 = 32,548.66 : x
  2. Step 2: Convert to fraction form
    56,414.30/77,849.02 = 32,548.66/x
  3. Step 3: Cross multiply
    56,414.30x = 77,849.02 × 32,548.66
  4. Step 4: Simplify right side
    56,414.30x = 2,533,881,283.31
  5. Step 5: Solve for x
    x = 2,533,881,283.31/56,414.30
  6. Step 6: Final answer
    x = 44,915.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.