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Finding the Fourth Proportional to 69,615.96, 96,070.11 and 37,784.87

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Solution

The fourth proportional to 69,615.96, 96,070.11 and 37,784.87 is: 52,143.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,615.96 : 96,070.11 = 37,784.87 : x
  2. Step 2: Convert to fraction form
    69,615.96/96,070.11 = 37,784.87/x
  3. Step 3: Cross multiply
    69,615.96x = 96,070.11 × 37,784.87
  4. Step 4: Simplify right side
    69,615.96x = 3,629,996,638.84
  5. Step 5: Solve for x
    x = 3,629,996,638.84/69,615.96
  6. Step 6: Final answer
    x = 52,143.17

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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.