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Finding the Fourth Proportional to 35,096.84, 52,663.48 and 26,829.98

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Solution

The fourth proportional to 35,096.84, 52,663.48 and 26,829.98 is: 40,258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,096.84 : 52,663.48 = 26,829.98 : x
  2. Step 2: Convert to fraction form
    35,096.84/52,663.48 = 26,829.98/x
  3. Step 3: Cross multiply
    35,096.84x = 52,663.48 × 26,829.98
  4. Step 4: Simplify right side
    35,096.84x = 1,412,959,784.74
  5. Step 5: Solve for x
    x = 1,412,959,784.74/35,096.84
  6. Step 6: Final answer
    x = 40,258.89

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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.