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Finding the Fourth Proportional to 67,494.96, 93,138.96 and 40,646.16

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Solution

The fourth proportional to 67,494.96, 93,138.96 and 40,646.16 is: 56,089.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,494.96 : 93,138.96 = 40,646.16 : x
  2. Step 2: Convert to fraction form
    67,494.96/93,138.96 = 40,646.16/x
  3. Step 3: Cross multiply
    67,494.96x = 93,138.96 × 40,646.16
  4. Step 4: Simplify right side
    67,494.96x = 3,785,741,070.39
  5. Step 5: Solve for x
    x = 3,785,741,070.39/67,494.96
  6. Step 6: Final answer
    x = 56,089.24

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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.