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Finding the Fourth Proportional to 96,898.86, 145,405.53 and 52,524.54

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Solution

The fourth proportional to 96,898.86, 145,405.53 and 52,524.54 is: 78,817.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,898.86 : 145,405.53 = 52,524.54 : x
  2. Step 2: Convert to fraction form
    96,898.86/145,405.53 = 52,524.54/x
  3. Step 3: Cross multiply
    96,898.86x = 145,405.53 × 52,524.54
  4. Step 4: Simplify right side
    96,898.86x = 7,637,358,576.71
  5. Step 5: Solve for x
    x = 7,637,358,576.71/96,898.86
  6. Step 6: Final answer
    x = 78,817.84

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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.