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Finding the Fourth Proportional to 73,776.76, 110,671.22 and 31,094.51

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Solution

The fourth proportional to 73,776.76, 110,671.22 and 31,094.51 is: 46,644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,776.76 : 110,671.22 = 31,094.51 : x
  2. Step 2: Convert to fraction form
    73,776.76/110,671.22 = 31,094.51/x
  3. Step 3: Cross multiply
    73,776.76x = 110,671.22 × 31,094.51
  4. Step 4: Simplify right side
    73,776.76x = 3,441,266,881.38
  5. Step 5: Solve for x
    x = 3,441,266,881.38/73,776.76
  6. Step 6: Final answer
    x = 46,644.32

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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.