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Finding the Fourth Proportional to 52,606, 78,947.88 and 24,904

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Solution

The fourth proportional to 52,606, 78,947.88 and 24,904 is: 37,374.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,606 : 78,947.88 = 24,904 : x
  2. Step 2: Convert to fraction form
    52,606/78,947.88 = 24,904/x
  3. Step 3: Cross multiply
    52,606x = 78,947.88 × 24,904
  4. Step 4: Simplify right side
    52,606x = 1,966,118,003.52
  5. Step 5: Solve for x
    x = 1,966,118,003.52/52,606
  6. Step 6: Final answer
    x = 37,374.41

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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.