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Finding the Fourth Proportional to 53,761.32, 74,153.88 and 49,299.84

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Solution

The fourth proportional to 53,761.32, 74,153.88 and 49,299.84 is: 68,000.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,761.32 : 74,153.88 = 49,299.84 : x
  2. Step 2: Convert to fraction form
    53,761.32/74,153.88 = 49,299.84/x
  3. Step 3: Cross multiply
    53,761.32x = 74,153.88 × 49,299.84
  4. Step 4: Simplify right side
    53,761.32x = 3,655,774,419.38
  5. Step 5: Solve for x
    x = 3,655,774,419.38/53,761.32
  6. Step 6: Final answer
    x = 68,000.09

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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.