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Finding the Fourth Proportional to 52,371.84, 78,557.76 and 24,672

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Solution

The fourth proportional to 52,371.84, 78,557.76 and 24,672 is: 37,008

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,371.84 : 78,557.76 = 24,672 : x
  2. Step 2: Convert to fraction form
    52,371.84/78,557.76 = 24,672/x
  3. Step 3: Cross multiply
    52,371.84x = 78,557.76 × 24,672
  4. Step 4: Simplify right side
    52,371.84x = 1,938,177,054.72
  5. Step 5: Solve for x
    x = 1,938,177,054.72/52,371.84
  6. Step 6: Final answer
    x = 37,008

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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.