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Finding the Fourth Proportional to 92,267.64, 127,331.88 and 56,457

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Solution

The fourth proportional to 92,267.64, 127,331.88 and 56,457 is: 77,912.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,267.64 : 127,331.88 = 56,457 : x
  2. Step 2: Convert to fraction form
    92,267.64/127,331.88 = 56,457/x
  3. Step 3: Cross multiply
    92,267.64x = 127,331.88 × 56,457
  4. Step 4: Simplify right side
    92,267.64x = 7,188,775,949.16
  5. Step 5: Solve for x
    x = 7,188,775,949.16/92,267.64
  6. Step 6: Final answer
    x = 77,912.21

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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.