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Finding the Fourth Proportional to 57,316.64, 85,894.87 and 48,838.86

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Solution

The fourth proportional to 57,316.64, 85,894.87 and 48,838.86 is: 73,190.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,316.64 : 85,894.87 = 48,838.86 : x
  2. Step 2: Convert to fraction form
    57,316.64/85,894.87 = 48,838.86/x
  3. Step 3: Cross multiply
    57,316.64x = 85,894.87 × 48,838.86
  4. Step 4: Simplify right side
    57,316.64x = 4,195,007,269.59
  5. Step 5: Solve for x
    x = 4,195,007,269.59/57,316.64
  6. Step 6: Final answer
    x = 73,190.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.