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Finding the Fourth Proportional to 73,531.74, 110,317.05 and 38,461.98

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Solution

The fourth proportional to 73,531.74, 110,317.05 and 38,461.98 is: 57,703.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,531.74 : 110,317.05 = 38,461.98 : x
  2. Step 2: Convert to fraction form
    73,531.74/110,317.05 = 38,461.98/x
  3. Step 3: Cross multiply
    73,531.74x = 110,317.05 × 38,461.98
  4. Step 4: Simplify right side
    73,531.74x = 4,243,012,170.76
  5. Step 5: Solve for x
    x = 4,243,012,170.76/73,531.74
  6. Step 6: Final answer
    x = 57,703.14

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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.