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Finding the Fourth Proportional to 74,248, 102,462.26 and 40,714.72

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Solution

The fourth proportional to 74,248, 102,462.26 and 40,714.72 is: 56,186.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,248 : 102,462.26 = 40,714.72 : x
  2. Step 2: Convert to fraction form
    74,248/102,462.26 = 40,714.72/x
  3. Step 3: Cross multiply
    74,248x = 102,462.26 × 40,714.72
  4. Step 4: Simplify right side
    74,248x = 4,171,722,226.47
  5. Step 5: Solve for x
    x = 4,171,722,226.47/74,248
  6. Step 6: Final answer
    x = 56,186.32

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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.