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Finding the Fourth Proportional to 67,760, 93,508.80 and 37,952

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Solution

The fourth proportional to 67,760, 93,508.80 and 37,952 is: 52,373.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,760 : 93,508.80 = 37,952 : x
  2. Step 2: Convert to fraction form
    67,760/93,508.80 = 37,952/x
  3. Step 3: Cross multiply
    67,760x = 93,508.80 × 37,952
  4. Step 4: Simplify right side
    67,760x = 3,548,845,977.60
  5. Step 5: Solve for x
    x = 3,548,845,977.60/67,760
  6. Step 6: Final answer
    x = 52,373.76

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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.