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Finding the Fourth Proportional to 74,324, 102,567.12 and 40,792.16

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Solution

The fourth proportional to 74,324, 102,567.12 and 40,792.16 is: 56,293.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,324 : 102,567.12 = 40,792.16 : x
  2. Step 2: Convert to fraction form
    74,324/102,567.12 = 40,792.16/x
  3. Step 3: Cross multiply
    74,324x = 102,567.12 × 40,792.16
  4. Step 4: Simplify right side
    74,324x = 4,183,934,369.78
  5. Step 5: Solve for x
    x = 4,183,934,369.78/74,324
  6. Step 6: Final answer
    x = 56,293.18

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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.