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Finding the Fourth Proportional to 96,527.90, 144,811.14 and 33,350.30

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Solution

The fourth proportional to 96,527.90, 144,811.14 and 33,350.30 is: 50,032.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,527.90 : 144,811.14 = 33,350.30 : x
  2. Step 2: Convert to fraction form
    96,527.90/144,811.14 = 33,350.30/x
  3. Step 3: Cross multiply
    96,527.90x = 144,811.14 × 33,350.30
  4. Step 4: Simplify right side
    96,527.90x = 4,829,494,962.34
  5. Step 5: Solve for x
    x = 4,829,494,962.34/96,527.90
  6. Step 6: Final answer
    x = 50,032.11

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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.