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Finding the Fourth Proportional to 92,490.57, 138,730.16 and 56,958.66

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Solution

The fourth proportional to 92,490.57, 138,730.16 and 56,958.66 is: 85,434.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,490.57 : 138,730.16 = 56,958.66 : x
  2. Step 2: Convert to fraction form
    92,490.57/138,730.16 = 56,958.66/x
  3. Step 3: Cross multiply
    92,490.57x = 138,730.16 × 56,958.66
  4. Step 4: Simplify right side
    92,490.57x = 7,901,883,036.74
  5. Step 5: Solve for x
    x = 7,901,883,036.74/92,490.57
  6. Step 6: Final answer
    x = 85,434.48

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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.