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Finding the Fourth Proportional to 74,203.50, 102,407.31 and 40,675.98

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Solution

The fourth proportional to 74,203.50, 102,407.31 and 40,675.98 is: 56,136.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,203.50 : 102,407.31 = 40,675.98 : x
  2. Step 2: Convert to fraction form
    74,203.50/102,407.31 = 40,675.98/x
  3. Step 3: Cross multiply
    74,203.50x = 102,407.31 × 40,675.98
  4. Step 4: Simplify right side
    74,203.50x = 4,165,517,693.41
  5. Step 5: Solve for x
    x = 4,165,517,693.41/74,203.50
  6. Step 6: Final answer
    x = 56,136.40

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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.