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Finding the Fourth Proportional to 74,748.52, 103,152.54 and 41,214.52

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Solution

The fourth proportional to 74,748.52, 103,152.54 and 41,214.52 is: 56,875.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,748.52 : 103,152.54 = 41,214.52 : x
  2. Step 2: Convert to fraction form
    74,748.52/103,152.54 = 41,214.52/x
  3. Step 3: Cross multiply
    74,748.52x = 103,152.54 × 41,214.52
  4. Step 4: Simplify right side
    74,748.52x = 4,251,382,422.88
  5. Step 5: Solve for x
    x = 4,251,382,422.88/74,748.52
  6. Step 6: Final answer
    x = 56,875.81

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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.