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Finding the Fourth Proportional to 92,296.16, 127,377.60 and 58,760

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Solution

The fourth proportional to 92,296.16, 127,377.60 and 58,760 is: 81,094.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,296.16 : 127,377.60 = 58,760 : x
  2. Step 2: Convert to fraction form
    92,296.16/127,377.60 = 58,760/x
  3. Step 3: Cross multiply
    92,296.16x = 127,377.60 × 58,760
  4. Step 4: Simplify right side
    92,296.16x = 7,484,707,776
  5. Step 5: Solve for x
    x = 7,484,707,776/92,296.16
  6. Step 6: Final answer
    x = 81,094.47

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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.