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Finding the Fourth Proportional to 73,810.44, 110,774.52 and 38,281.82

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Solution

The fourth proportional to 73,810.44, 110,774.52 and 38,281.82 is: 57,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,810.44 : 110,774.52 = 38,281.82 : x
  2. Step 2: Convert to fraction form
    73,810.44/110,774.52 = 38,281.82/x
  3. Step 3: Cross multiply
    73,810.44x = 110,774.52 × 38,281.82
  4. Step 4: Simplify right side
    73,810.44x = 4,240,649,681.35
  5. Step 5: Solve for x
    x = 4,240,649,681.35/73,810.44
  6. Step 6: Final answer
    x = 57,453.25

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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.