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Finding the Fourth Proportional to 74,782.50, 103,207.14 and 41,248.50

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Solution

The fourth proportional to 74,782.50, 103,207.14 and 41,248.50 is: 56,926.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,782.50 : 103,207.14 = 41,248.50 : x
  2. Step 2: Convert to fraction form
    74,782.50/103,207.14 = 41,248.50/x
  3. Step 3: Cross multiply
    74,782.50x = 103,207.14 × 41,248.50
  4. Step 4: Simplify right side
    74,782.50x = 4,257,139,714.29
  5. Step 5: Solve for x
    x = 4,257,139,714.29/74,782.50
  6. Step 6: Final answer
    x = 56,926.95

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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.