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Finding the Fourth Proportional to 96,851.76, 145,291.50 and 46,890.84

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Solution

The fourth proportional to 96,851.76, 145,291.50 and 46,890.84 is: 70,342.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,851.76 : 145,291.50 = 46,890.84 : x
  2. Step 2: Convert to fraction form
    96,851.76/145,291.50 = 46,890.84/x
  3. Step 3: Cross multiply
    96,851.76x = 145,291.50 × 46,890.84
  4. Step 4: Simplify right side
    96,851.76x = 6,812,840,479.86
  5. Step 5: Solve for x
    x = 6,812,840,479.86/96,851.76
  6. Step 6: Final answer
    x = 70,342.97

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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.