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Finding the Fourth Proportional to 92,761.48, 127,952.58 and 55,009

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Solution

The fourth proportional to 92,761.48, 127,952.58 and 55,009 is: 75,877.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,761.48 : 127,952.58 = 55,009 : x
  2. Step 2: Convert to fraction form
    92,761.48/127,952.58 = 55,009/x
  3. Step 3: Cross multiply
    92,761.48x = 127,952.58 × 55,009
  4. Step 4: Simplify right side
    92,761.48x = 7,038,543,473.22
  5. Step 5: Solve for x
    x = 7,038,543,473.22/92,761.48
  6. Step 6: Final answer
    x = 75,877.87

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1.5x scale

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.