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Finding the Fourth Proportional to 74,323, 102,565.74 and 40,791.16

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Solution

The fourth proportional to 74,323, 102,565.74 and 40,791.16 is: 56,291.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,323 : 102,565.74 = 40,791.16 : x
  2. Step 2: Convert to fraction form
    74,323/102,565.74 = 40,791.16/x
  3. Step 3: Cross multiply
    74,323x = 102,565.74 × 40,791.16
  4. Step 4: Simplify right side
    74,323x = 4,183,775,510.86
  5. Step 5: Solve for x
    x = 4,183,775,510.86/74,323
  6. Step 6: Final answer
    x = 56,291.80

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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.