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Finding the Fourth Proportional to 73,840.30, 110,699.70 and 31,752.70

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Solution

The fourth proportional to 73,840.30, 110,699.70 and 31,752.70 is: 47,602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,840.30 : 110,699.70 = 31,752.70 : x
  2. Step 2: Convert to fraction form
    73,840.30/110,699.70 = 31,752.70/x
  3. Step 3: Cross multiply
    73,840.30x = 110,699.70 × 31,752.70
  4. Step 4: Simplify right side
    73,840.30x = 3,515,014,364.19
  5. Step 5: Solve for x
    x = 3,515,014,364.19/73,840.30
  6. Step 6: Final answer
    x = 47,602.93

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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.