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Finding the Fourth Proportional to 92,242.58, 127,297.32 and 56,431.94

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Solution

The fourth proportional to 92,242.58, 127,297.32 and 56,431.94 is: 77,877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,242.58 : 127,297.32 = 56,431.94 : x
  2. Step 2: Convert to fraction form
    92,242.58/127,297.32 = 56,431.94/x
  3. Step 3: Cross multiply
    92,242.58x = 127,297.32 × 56,431.94
  4. Step 4: Simplify right side
    92,242.58x = 7,183,634,724.40
  5. Step 5: Solve for x
    x = 7,183,634,724.40/92,242.58
  6. Step 6: Final answer
    x = 77,877.64

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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.