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Finding the Fourth Proportional to 74,341.32, 102,590.14 and 40,349.86

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Solution

The fourth proportional to 74,341.32, 102,590.14 and 40,349.86 is: 55,682.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,341.32 : 102,590.14 = 40,349.86 : x
  2. Step 2: Convert to fraction form
    74,341.32/102,590.14 = 40,349.86/x
  3. Step 3: Cross multiply
    74,341.32x = 102,590.14 × 40,349.86
  4. Step 4: Simplify right side
    74,341.32x = 4,139,497,786.38
  5. Step 5: Solve for x
    x = 4,139,497,786.38/74,341.32
  6. Step 6: Final answer
    x = 55,682.33

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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.